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Simplifying 3(w + -1) = 5w + 5 + -4(-2w + -1) Reorder the terms: 3(-1 + w) = 5w + 5 + -4(-2w + -1) (-1 * 3 + w * 3) = 5w + 5 + -4(-2w + -1) (-3 + 3w) = 5w + 5 + -4(-2w + -1) Reorder the terms: -3 + 3w = 5w + 5 + -4(-1 + -2w) -3 + 3w = 5w + 5 + (-1 * -4 + -2w * -4) -3 + 3w = 5w + 5 + (4 + 8w) Reorder the terms: -3 + 3w = 5 + 4 + 5w + 8w Combine like terms: 5 + 4 = 9 -3 + 3w = 9 + 5w + 8w Combine like terms: 5w + 8w = 13w -3 + 3w = 9 + 13w Solving -3 + 3w = 9 + 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. -3 + 3w + -13w = 9 + 13w + -13w Combine like terms: 3w + -13w = -10w -3 + -10w = 9 + 13w + -13w Combine like terms: 13w + -13w = 0 -3 + -10w = 9 + 0 -3 + -10w = 9 Add '3' to each side of the equation. -3 + 3 + -10w = 9 + 3 Combine like terms: -3 + 3 = 0 0 + -10w = 9 + 3 -10w = 9 + 3 Combine like terms: 9 + 3 = 12 -10w = 12 Divide each side by '-10'. w = -1.2 Simplifying w = -1.2
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