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Simplifying -8(w + -9) + -1(-4w + -3) = -5w Reorder the terms: -8(-9 + w) + -1(-4w + -3) = -5w (-9 * -8 + w * -8) + -1(-4w + -3) = -5w (72 + -8w) + -1(-4w + -3) = -5w Reorder the terms: 72 + -8w + -1(-3 + -4w) = -5w 72 + -8w + (-3 * -1 + -4w * -1) = -5w 72 + -8w + (3 + 4w) = -5w Reorder the terms: 72 + 3 + -8w + 4w = -5w Combine like terms: 72 + 3 = 75 75 + -8w + 4w = -5w Combine like terms: -8w + 4w = -4w 75 + -4w = -5w Solving 75 + -4w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 75 + -4w + 5w = -5w + 5w Combine like terms: -4w + 5w = 1w 75 + 1w = -5w + 5w Combine like terms: -5w + 5w = 0 75 + 1w = 0 Add '-75' to each side of the equation. 75 + -75 + 1w = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 1w = 0 + -75 1w = 0 + -75 Combine like terms: 0 + -75 = -75 1w = -75 Divide each side by '1'. w = -75 Simplifying w = -75
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