Question

Use the distributive property to solve the following equation
z+4(2z+3)=15

Answer 1

To solve the equation using the distributive property, we need to distribute the 4 to both terms inside the parentheses.

z + 4(2z + 3) = 15

First, distribute the 4 to 2z and 3:

z + 8z + 12 = 15

Combine like terms:

9z + 12 = 15

Next, isolate the variable term by subtracting 12 from both sides:

9z + 12 - 12 = 15 - 12

9z = 3

Finally, divide both sides by 9 to solve for z:

9z/9 = 3/9

z = 1/3

Therefore, the solution to the equation is z = 1/3.