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Simplifying -3(w + -6) + -1(2w + -9) = -6w Reorder the terms: -3(-6 + w) + -1(2w + -9) = -6w (-6 * -3 + w * -3) + -1(2w + -9) = -6w (18 + -3w) + -1(2w + -9) = -6w Reorder the terms: 18 + -3w + -1(-9 + 2w) = -6w 18 + -3w + (-9 * -1 + 2w * -1) = -6w 18 + -3w + (9 + -2w) = -6w Reorder the terms: 18 + 9 + -3w + -2w = -6w Combine like terms: 18 + 9 = 27 27 + -3w + -2w = -6w Combine like terms: -3w + -2w = -5w 27 + -5w = -6w Solving 27 + -5w = -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 27 + -5w + 6w = -6w + 6w Combine like terms: -5w + 6w = 1w 27 + 1w = -6w + 6w Combine like terms: -6w + 6w = 0 27 + 1w = 0 Add '-27' to each side of the equation. 27 + -27 + 1w = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 1w = 0 + -27 1w = 0 + -27 Combine like terms: 0 + -27 = -27 1w = -27 Divide each side by '1'. w = -27 Simplifying w = -27
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