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Simplifying -8(w + -9) + -1(-5w + -5) = -4w Reorder the terms: -8(-9 + w) + -1(-5w + -5) = -4w (-9 * -8 + w * -8) + -1(-5w + -5) = -4w (72 + -8w) + -1(-5w + -5) = -4w Reorder the terms: 72 + -8w + -1(-5 + -5w) = -4w 72 + -8w + (-5 * -1 + -5w * -1) = -4w 72 + -8w + (5 + 5w) = -4w Reorder the terms: 72 + 5 + -8w + 5w = -4w Combine like terms: 72 + 5 = 77 77 + -8w + 5w = -4w Combine like terms: -8w + 5w = -3w 77 + -3w = -4w Solving 77 + -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. 77 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 77 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 77 + 1w = 0 Add '-77' to each side of the equation. 77 + -77 + 1w = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 1w = 0 + -77 1w = 0 + -77 Combine like terms: 0 + -77 = -77 1w = -77 Divide each side by '1'. w = -77 Simplifying w = -77
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