Which linear technique would be best to solve this problem? 3x/4 + 6 = -12

Ms. Sue, do you have a suggestion?

Multiply both sides by 4.

3x + 24 = -48

3x = -72

x = -24

Even though I am not Ms. Sue, I hope this helps.

To solve this linear equation, we need to isolate the variable 'x' on one side of the equation. The linear technique that would be best in this case is to use the multiplication property of equality and the addition property of equality.

Step 1: Start by subtracting 6 from both sides of the equation to get rid of the constant term on the left side:
3x/4 + 6 - 6 = -12 - 6
Simplifying:
3x/4 = -18

Step 2: Next, to eliminate the fraction (4 in the denominator), we can multiply both sides of the equation by 4. This will cancel out the fraction on the left side:
4 * (3x/4) = -18 * 4
Simplifying:
3x = -72

Step 3: Finally, to solve for 'x', divide both sides of the equation by 3:
3x/3 = -72/3
Simplifying:
x = -24

Therefore, the solution to the given equation 3x/4 + 6 = -12 is x = -24.