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Simplifying 5w + -32 = -2(w + 2) Reorder the terms: -32 + 5w = -2(w + 2) Reorder the terms: -32 + 5w = -2(2 + w) -32 + 5w = (2 * -2 + w * -2) -32 + 5w = (-4 + -2w) Solving -32 + 5w = -4 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -32 + 5w + 2w = -4 + -2w + 2w Combine like terms: 5w + 2w = 7w -32 + 7w = -4 + -2w + 2w Combine like terms: -2w + 2w = 0 -32 + 7w = -4 + 0 -32 + 7w = -4 Add '32' to each side of the equation. -32 + 32 + 7w = -4 + 32 Combine like terms: -32 + 32 = 0 0 + 7w = -4 + 32 7w = -4 + 32 Combine like terms: -4 + 32 = 28 7w = 28 Divide each side by '7'. w = 4 Simplifying w = 4
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