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Simplifying -5(w + -9) + -1(-2w + -9) = -4w Reorder the terms: -5(-9 + w) + -1(-2w + -9) = -4w (-9 * -5 + w * -5) + -1(-2w + -9) = -4w (45 + -5w) + -1(-2w + -9) = -4w Reorder the terms: 45 + -5w + -1(-9 + -2w) = -4w 45 + -5w + (-9 * -1 + -2w * -1) = -4w 45 + -5w + (9 + 2w) = -4w Reorder the terms: 45 + 9 + -5w + 2w = -4w Combine like terms: 45 + 9 = 54 54 + -5w + 2w = -4w Combine like terms: -5w + 2w = -3w 54 + -3w = -4w Solving 54 + -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. 54 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w 54 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 54 + 1w = 0 Add '-54' to each side of the equation. 54 + -54 + 1w = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 1w = 0 + -54 1w = 0 + -54 Combine like terms: 0 + -54 = -54 1w = -54 Divide each side by '1'. w = -54 Simplifying w = -54
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