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Simplifying -5w + -8 = -3(w + 8) Reorder the terms: -8 + -5w = -3(w + 8) Reorder the terms: -8 + -5w = -3(8 + w) -8 + -5w = (8 * -3 + w * -3) -8 + -5w = (-24 + -3w) Solving -8 + -5w = -24 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -8 + -5w + 3w = -24 + -3w + 3w Combine like terms: -5w + 3w = -2w -8 + -2w = -24 + -3w + 3w Combine like terms: -3w + 3w = 0 -8 + -2w = -24 + 0 -8 + -2w = -24 Add '8' to each side of the equation. -8 + 8 + -2w = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -2w = -24 + 8 -2w = -24 + 8 Combine like terms: -24 + 8 = -16 -2w = -16 Divide each side by '-2'. w = 8 Simplifying w = 8
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