Question

solve the following linear equation:
$2(5n + 7) = -3n - 3$
enter each solution as an integer or reduced fraction only. decimal and mixed number answers will not be accepted.
$n = \square$
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Explanation:

Step1: Expand left-hand side

$2(5n+7) = 10n + 14$
Equation becomes: $10n + 14 = -3n - 3$

Step2: Isolate n terms to left

Add $3n$ to both sides:
$10n + 3n + 14 = -3$
$13n + 14 = -3$

Step3: Isolate constant terms to right

Subtract 14 from both sides:
$13n = -3 - 14$
$13n = -17$

Step4: Solve for n

Divide both sides by 13:
$n = \frac{-17}{13}$

Answer:

$n = -\frac{17}{13}$