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Simplifying -2w + -8 = 3(w + -1) Reorder the terms: -8 + -2w = 3(w + -1) Reorder the terms: -8 + -2w = 3(-1 + w) -8 + -2w = (-1 * 3 + w * 3) -8 + -2w = (-3 + 3w) Solving -8 + -2w = -3 + 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 + -2w + -3w = -3 + 3w + -3w Combine like terms: -2w + -3w = -5w -8 + -5w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 -8 + -5w = -3 + 0 -8 + -5w = -3 Add '8' to each side of the equation. -8 + 8 + -5w = -3 + 8 Combine like terms: -8 + 8 = 0 0 + -5w = -3 + 8 -5w = -3 + 8 Combine like terms: -3 + 8 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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