Question

The equation 5(3w+4)=-10 is solved in several steps below. For each step, choose the reason that best justifies it.

a) Addition property of equality

b) Subtraction property of equality

c) Multiplication property of equality

d) Division property of equality

e) Simplifying

f) Distributive property

Answer 1

To solve the equation 5(3w+4)=-10, you can follow several steps: simplify the equation, isolate the variable, and solve for w. The final result is w = -2.

Step-by-step explanation:

The equation 5(3w+4)=-10 can be solved using several steps:

1. Use the distributive property to simplify the equation: 5 * 3w + 5 * 4 = -10
2. Simplify the equation further: 15w + 20 = -10
3. Subtract 20 from both sides of the equation to isolate the variable: 15w = -10 - 20
4. Simplify the right side of the equation: 15w = -30
5. Divide both sides of the equation by 15 to solve for w: w = -30 / 15
6. Simplify the right side of the equation: w = -2