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Simplifying 3(w + -9) = 2(w + -8) Reorder the terms: 3(-9 + w) = 2(w + -8) (-9 * 3 + w * 3) = 2(w + -8) (-27 + 3w) = 2(w + -8) Reorder the terms: -27 + 3w = 2(-8 + w) -27 + 3w = (-8 * 2 + w * 2) -27 + 3w = (-16 + 2w) Solving -27 + 3w = -16 + 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 + 3w + -2w = -16 + 2w + -2w Combine like terms: 3w + -2w = 1w -27 + 1w = -16 + 2w + -2w Combine like terms: 2w + -2w = 0 -27 + 1w = -16 + 0 -27 + 1w = -16 Add '27' to each side of the equation. -27 + 27 + 1w = -16 + 27 Combine like terms: -27 + 27 = 0 0 + 1w = -16 + 27 1w = -16 + 27 Combine like terms: -16 + 27 = 11 1w = 11 Divide each side by '1'. w = 11 Simplifying w = 11
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