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Simplifying -3(-6w + 9) + -1w = 2(w + -6) + -9 Reorder the terms: -3(9 + -6w) + -1w = 2(w + -6) + -9 (9 * -3 + -6w * -3) + -1w = 2(w + -6) + -9 (-27 + 18w) + -1w = 2(w + -6) + -9 Combine like terms: 18w + -1w = 17w -27 + 17w = 2(w + -6) + -9 Reorder the terms: -27 + 17w = 2(-6 + w) + -9 -27 + 17w = (-6 * 2 + w * 2) + -9 -27 + 17w = (-12 + 2w) + -9 Reorder the terms: -27 + 17w = -12 + -9 + 2w Combine like terms: -12 + -9 = -21 -27 + 17w = -21 + 2w Solving -27 + 17w = -21 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -27 + 17w + -2w = -21 + 2w + -2w Combine like terms: 17w + -2w = 15w -27 + 15w = -21 + 2w + -2w Combine like terms: 2w + -2w = 0 -27 + 15w = -21 + 0 -27 + 15w = -21 Add '27' to each side of the equation. -27 + 27 + 15w = -21 + 27 Combine like terms: -27 + 27 = 0 0 + 15w = -21 + 27 15w = -21 + 27 Combine like terms: -21 + 27 = 6 15w = 6 Divide each side by '15'. w = 0.4 Simplifying w = 0.4
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