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Simplifying 3(w + -3) = w + 4 + -5(-2w + -1) Reorder the terms: 3(-3 + w) = w + 4 + -5(-2w + -1) (-3 * 3 + w * 3) = w + 4 + -5(-2w + -1) (-9 + 3w) = w + 4 + -5(-2w + -1) Reorder the terms: -9 + 3w = w + 4 + -5(-1 + -2w) -9 + 3w = w + 4 + (-1 * -5 + -2w * -5) -9 + 3w = w + 4 + (5 + 10w) Reorder the terms: -9 + 3w = 4 + 5 + w + 10w Combine like terms: 4 + 5 = 9 -9 + 3w = 9 + w + 10w Combine like terms: w + 10w = 11w -9 + 3w = 9 + 11w Solving -9 + 3w = 9 + 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. -9 + 3w + -11w = 9 + 11w + -11w Combine like terms: 3w + -11w = -8w -9 + -8w = 9 + 11w + -11w Combine like terms: 11w + -11w = 0 -9 + -8w = 9 + 0 -9 + -8w = 9 Add '9' to each side of the equation. -9 + 9 + -8w = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -8w = 9 + 9 -8w = 9 + 9 Combine like terms: 9 + 9 = 18 -8w = 18 Divide each side by '-8'. w = -2.25 Simplifying w = -2.25
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