Question

1. $-13 + \frac{v}{-3} = -9$
2. $\frac{-20 + p}{-16} = 1$
3. $14(16 + a) = 518$
4. $9 + \frac{r}{-13} = 7$
5. $\frac{p - 10}{3} = 7$
6. $18 + \frac{v}{-3} = 23$

Explanation:

Problem 21: Isolate the fraction term

Add 13 to both sides.
$\frac{v}{-3} = -9 + 13$
$\frac{v}{-3} = 4$

Problem 21: Solve for $v$

Multiply both sides by -3.
$v = 4 \times (-3)$
$v = -12$

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Problem 22: Eliminate the denominator

Multiply both sides by -16.
$-20 + p = 1 \times (-16)$
$-20 + p = -16$

Problem 22: Solve for $p$

Add 20 to both sides.
$p = -16 + 20$
$p = 4$

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Problem 23: Eliminate the coefficient

Divide both sides by 14.
$16 + a = \frac{518}{14}$
$16 + a = 37$

Problem 23: Solve for $a$

Subtract 16 from both sides.
$a = 37 - 16$
$a = 21$

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Problem 24: Isolate the fraction term

Subtract 9 from both sides.
$\frac{r}{-13} = 7 - 9$
$\frac{r}{-13} = -2$

Problem 24: Solve for $r$

Multiply both sides by -13.
$r = -2 \times (-13)$
$r = 26$

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Problem 25: Eliminate the denominator

Multiply both sides by 3.
$p - 10 = 7 \times 3$
$p - 10 = 21$

Problem 25: Solve for $p$

Add 10 to both sides.
$p = 21 + 10$
$p = 31$

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Problem 26: Isolate the fraction term

Subtract 18 from both sides.
$\frac{v}{-3} = 23 - 18$
$\frac{v}{-3} = 5$

Problem 26: Solve for $v$

Multiply both sides by -3.
$v = 5 \times (-3)$
$v = -15$

Answer:

1. $v = -12$
2. $p = 4$
3. $a = 21$
4. $r = 26$
5. $p = 31$
6. $v = -15$