Question

solve the equation. what is the value of h? there are several ways to start solving this equation. there are variables on both sides, and a number on the right side only. so, one way to start is to get all of the variables on one side, and keep the number on the other side. which move can you make to move all of the h terms to the left, while keeping the equation balanced? $20h = 12h + 16$ subtract 12h from both sides subtract 16 from both sides add 12h to both sides

Explanation:

Step1: Analyze the goal

We want to move all \( h \)-terms to the left side. The equation is \( 20h = 12h + 16 \). The right side has \( 12h \), so to eliminate \( 12h \) from the right and have all \( h \)-terms on the left, we use the subtraction property of equality.

Step2: Evaluate each option

• Subtract \( 12h \) from both sides:

Left side: \( 20h - 12h = 8h \)
Right side: \( 12h + 16 - 12h = 16 \)
Now the equation is \( 8h = 16 \), which has all \( h \)-terms on the left.

• Subtract 16 from both sides: This would give \( 20h - 16 = 12h \), which doesn't move all \( h \)-terms to the left.
• Add \( 12h \) to both sides: This would give \( 20h + 12h = 12h + 12h + 16 \) or \( 32h = 24h + 16 \), which adds more \( h \)-terms to the right, not moving them to the left.

Answer:

Subtract 12h from both sides