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Simplifying -8(w + -9) + -1(6 + -5w) = -4w Reorder the terms: -8(-9 + w) + -1(6 + -5w) = -4w (-9 * -8 + w * -8) + -1(6 + -5w) = -4w (72 + -8w) + -1(6 + -5w) = -4w 72 + -8w + (6 * -1 + -5w * -1) = -4w 72 + -8w + (-6 + 5w) = -4w Reorder the terms: 72 + -6 + -8w + 5w = -4w Combine like terms: 72 + -6 = 66 66 + -8w + 5w = -4w Combine like terms: -8w + 5w = -3w 66 + -3w = -4w Solving 66 + -3w = -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 66 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 66 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 66 + 1w = 0 Add '-66' to each side of the equation. 66 + -66 + 1w = 0 + -66 Combine like terms: 66 + -66 = 0 0 + 1w = 0 + -66 1w = 0 + -66 Combine like terms: 0 + -66 = -66 1w = -66 Divide each side by '1'. w = -66 Simplifying w = -66
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