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Simplifying -3(w + -4) + -1(w + 5) = 18 Reorder the terms: -3(-4 + w) + -1(w + 5) = 18 (-4 * -3 + w * -3) + -1(w + 5) = 18 (12 + -3w) + -1(w + 5) = 18 Reorder the terms: 12 + -3w + -1(5 + w) = 18 12 + -3w + (5 * -1 + w * -1) = 18 12 + -3w + (-5 + -1w) = 18 Reorder the terms: 12 + -5 + -3w + -1w = 18 Combine like terms: 12 + -5 = 7 7 + -3w + -1w = 18 Combine like terms: -3w + -1w = -4w 7 + -4w = 18 Solving 7 + -4w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4w = 18 + -7 Combine like terms: 7 + -7 = 0 0 + -4w = 18 + -7 -4w = 18 + -7 Combine like terms: 18 + -7 = 11 -4w = 11 Divide each side by '-4'. w = -2.75 Simplifying w = -2.75
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