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Simplifying 3(2w + -3) = 11(w + 3) Reorder the terms: 3(-3 + 2w) = 11(w + 3) (-3 * 3 + 2w * 3) = 11(w + 3) (-9 + 6w) = 11(w + 3) Reorder the terms: -9 + 6w = 11(3 + w) -9 + 6w = (3 * 11 + w * 11) -9 + 6w = (33 + 11w) Solving -9 + 6w = 33 + 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 + 6w + -11w = 33 + 11w + -11w Combine like terms: 6w + -11w = -5w -9 + -5w = 33 + 11w + -11w Combine like terms: 11w + -11w = 0 -9 + -5w = 33 + 0 -9 + -5w = 33 Add '9' to each side of the equation. -9 + 9 + -5w = 33 + 9 Combine like terms: -9 + 9 = 0 0 + -5w = 33 + 9 -5w = 33 + 9 Combine like terms: 33 + 9 = 42 -5w = 42 Divide each side by '-5'. w = -8.4 Simplifying w = -8.4
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