Question

1. consider the equation 12a - 26 = 136. multiply both sides of the equation by 26? nice work! select the next step to solve for the variable. 12a - 26 = 136 given 12a = 136 + 26 add 26 to both sides of the equation \\(\frac{12a}{12}=\frac{162}{12}\\) a = 11 answer multiply both sides of the equation by 12 divide both sides of the equation by 12 add 12 to both sides of the equation subtract 12 from both sides of the equation

Explanation:

Step1: Analyze the equation

We have the equation \(12a - 26=136\). After adding 26 to both sides, we get \(12a = 136 + 26=162\) (wait, actually \(136+26 = 162\), but in the given steps it's written as 136 + 26, maybe a typo, but the next step after \(12a=162\) (or as per the given \(12a = 136 + 26\)) is to isolate \(a\). Since \(a\) is multiplied by 12, we need to divide both sides by 12.

Step2: Determine the next step

The equation is \(12a=162\) (correcting the sum, but as per the given \(12a = 136 + 26\), let's follow the given). To solve for \(a\) when \(12a=\frac{162}{1}\) (or as per the given \(12a=\frac{162}{1}\) if we correct \(136 + 26=162\)), we divide both sides by 12. So the next step is to divide both sides of the equation by 12.

Answer:

Divide both sides of the equation by 12