Question

complete the process of solving the equation. fill in all missing terms and select all missing descriptions. simplify any fractions. \\(\frac{a + 20}{-12} = -5\\) \\(a + 20 = \square\\) \\(a = \square\\)

Explanation:

Step1: Multiply both sides by -12

To eliminate the denominator \(-12\) on the left side, we multiply both sides of the equation \(\frac{a + 20}{-12}=-5\) by \(-12\). Using the multiplication property of equality, we get \((\frac{a + 20}{-12})\times(-12)=-5\times(-12)\), which simplifies to \(a + 20 = 60\).

Step2: Subtract 20 from both sides

To solve for \(a\), we subtract 20 from both sides of the equation \(a + 20 = 60\). Using the subtraction property of equality, we have \(a+20 - 20=60 - 20\), so \(a = 40\).

Answer:

For the first blank ( \(a + 20=\) ), the value is \(60\) (explanation: Multiply both sides by -12). For the second blank ( \(a=\) ), the value is \(40\) (explanation: Subtract 20 from both sides).