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Simplifying -3(9 + 11w) = -1(12 + 18w) (9 * -3 + 11w * -3) = -1(12 + 18w) (-27 + -33w) = -1(12 + 18w) -27 + -33w = (12 * -1 + 18w * -1) -27 + -33w = (-12 + -18w) Solving -27 + -33w = -12 + -18w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '18w' to each side of the equation. -27 + -33w + 18w = -12 + -18w + 18w Combine like terms: -33w + 18w = -15w -27 + -15w = -12 + -18w + 18w Combine like terms: -18w + 18w = 0 -27 + -15w = -12 + 0 -27 + -15w = -12 Add '27' to each side of the equation. -27 + 27 + -15w = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -15w = -12 + 27 -15w = -12 + 27 Combine like terms: -12 + 27 = 15 -15w = 15 Divide each side by '-15'. w = -1 Simplifying w = -1
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