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Simplifying -2(w + 2) = 3w + -2 + 2(5w + 5) Reorder the terms: -2(2 + w) = 3w + -2 + 2(5w + 5) (2 * -2 + w * -2) = 3w + -2 + 2(5w + 5) (-4 + -2w) = 3w + -2 + 2(5w + 5) Reorder the terms: -4 + -2w = 3w + -2 + 2(5 + 5w) -4 + -2w = 3w + -2 + (5 * 2 + 5w * 2) -4 + -2w = 3w + -2 + (10 + 10w) Reorder the terms: -4 + -2w = -2 + 10 + 3w + 10w Combine like terms: -2 + 10 = 8 -4 + -2w = 8 + 3w + 10w Combine like terms: 3w + 10w = 13w -4 + -2w = 8 + 13w Solving -4 + -2w = 8 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. -4 + -2w + -13w = 8 + 13w + -13w Combine like terms: -2w + -13w = -15w -4 + -15w = 8 + 13w + -13w Combine like terms: 13w + -13w = 0 -4 + -15w = 8 + 0 -4 + -15w = 8 Add '4' to each side of the equation. -4 + 4 + -15w = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -15w = 8 + 4 -15w = 8 + 4 Combine like terms: 8 + 4 = 12 -15w = 12 Divide each side by '-15'. w = -0.8 Simplifying w = -0.8
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