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Simplifying -3(w + 3) = 5(1 + w) Reorder the terms: -3(3 + w) = 5(1 + w) (3 * -3 + w * -3) = 5(1 + w) (-9 + -3w) = 5(1 + w) -9 + -3w = (1 * 5 + w * 5) -9 + -3w = (5 + 5w) Solving -9 + -3w = 5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -9 + -3w + -5w = 5 + 5w + -5w Combine like terms: -3w + -5w = -8w -9 + -8w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 -9 + -8w = 5 + 0 -9 + -8w = 5 Add '9' to each side of the equation. -9 + 9 + -8w = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -8w = 5 + 9 -8w = 5 + 9 Combine like terms: 5 + 9 = 14 -8w = 14 Divide each side by '-8'. w = -1.75 Simplifying w = -1.75
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