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Simplifying 5(w + -1) = 3w + 9 + -2(9w + -2) Reorder the terms: 5(-1 + w) = 3w + 9 + -2(9w + -2) (-1 * 5 + w * 5) = 3w + 9 + -2(9w + -2) (-5 + 5w) = 3w + 9 + -2(9w + -2) Reorder the terms: -5 + 5w = 3w + 9 + -2(-2 + 9w) -5 + 5w = 3w + 9 + (-2 * -2 + 9w * -2) -5 + 5w = 3w + 9 + (4 + -18w) Reorder the terms: -5 + 5w = 9 + 4 + 3w + -18w Combine like terms: 9 + 4 = 13 -5 + 5w = 13 + 3w + -18w Combine like terms: 3w + -18w = -15w -5 + 5w = 13 + -15w Solving -5 + 5w = 13 + -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. -5 + 5w + 15w = 13 + -15w + 15w Combine like terms: 5w + 15w = 20w -5 + 20w = 13 + -15w + 15w Combine like terms: -15w + 15w = 0 -5 + 20w = 13 + 0 -5 + 20w = 13 Add '5' to each side of the equation. -5 + 5 + 20w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 20w = 13 + 5 20w = 13 + 5 Combine like terms: 13 + 5 = 18 20w = 18 Divide each side by '20'. w = 0.9 Simplifying w = 0.9
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