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Simplifying -2(w + 2) = 5w + -3 + 2(4w + 2) Reorder the terms: -2(2 + w) = 5w + -3 + 2(4w + 2) (2 * -2 + w * -2) = 5w + -3 + 2(4w + 2) (-4 + -2w) = 5w + -3 + 2(4w + 2) Reorder the terms: -4 + -2w = 5w + -3 + 2(2 + 4w) -4 + -2w = 5w + -3 + (2 * 2 + 4w * 2) -4 + -2w = 5w + -3 + (4 + 8w) Reorder the terms: -4 + -2w = -3 + 4 + 5w + 8w Combine like terms: -3 + 4 = 1 -4 + -2w = 1 + 5w + 8w Combine like terms: 5w + 8w = 13w -4 + -2w = 1 + 13w Solving -4 + -2w = 1 + 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 = 1 + 13w + -13w Combine like terms: -2w + -13w = -15w -4 + -15w = 1 + 13w + -13w Combine like terms: 13w + -13w = 0 -4 + -15w = 1 + 0 -4 + -15w = 1 Add '4' to each side of the equation. -4 + 4 + -15w = 1 + 4 Combine like terms: -4 + 4 = 0 0 + -15w = 1 + 4 -15w = 1 + 4 Combine like terms: 1 + 4 = 5 -15w = 5 Divide each side by '-15'. w = -0.3333333333 Simplifying w = -0.3333333333
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