Question

Solve the equation: -4(w + 1) = -24(w + 1) = -24w.

Answer 1

To solve the equation -4(w + 1) = -24(w + 1) = -24w, simplify each side, combine like terms, and solve for w. The solution is w = -1.

Step-by-step explanation:

To solve the equation -4(w + 1) = -24(w + 1) = -24w, you need to simplify each side of the equation step by step.

Start by distributing the -4 and -24 to the terms inside the parentheses:

1. -4(w + 1) = -4w - 4
2. -24(w + 1) = -24w - 24

Combine like terms:

1. -4w - 4 = -24w - 24

Move all the variable terms to one side of the equation and all the constant terms to the other side:

1. -4w + 24w = -24 + 4

Simplify the equation:

1. 20w = -20

Divide both sides of the equation by 20:

1. w = -1

Therefore, the solution to the equation -4(w + 1) = -24(w + 1) = -24w is w = -1.