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Simplifying 8(w + 7) + -1(3w + -9) = 4w Reorder the terms: 8(7 + w) + -1(3w + -9) = 4w (7 * 8 + w * 8) + -1(3w + -9) = 4w (56 + 8w) + -1(3w + -9) = 4w Reorder the terms: 56 + 8w + -1(-9 + 3w) = 4w 56 + 8w + (-9 * -1 + 3w * -1) = 4w 56 + 8w + (9 + -3w) = 4w Reorder the terms: 56 + 9 + 8w + -3w = 4w Combine like terms: 56 + 9 = 65 65 + 8w + -3w = 4w Combine like terms: 8w + -3w = 5w 65 + 5w = 4w Solving 65 + 5w = 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. 65 + 5w + -4w = 4w + -4w Combine like terms: 5w + -4w = 1w 65 + 1w = 4w + -4w Combine like terms: 4w + -4w = 0 65 + 1w = 0 Add '-65' to each side of the equation. 65 + -65 + 1w = 0 + -65 Combine like terms: 65 + -65 = 0 0 + 1w = 0 + -65 1w = 0 + -65 Combine like terms: 0 + -65 = -65 1w = -65 Divide each side by '1'. w = -65 Simplifying w = -65
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