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Simplifying 8(w + -9) + -1(3w + -7) = 4w Reorder the terms: 8(-9 + w) + -1(3w + -7) = 4w (-9 * 8 + w * 8) + -1(3w + -7) = 4w (-72 + 8w) + -1(3w + -7) = 4w Reorder the terms: -72 + 8w + -1(-7 + 3w) = 4w -72 + 8w + (-7 * -1 + 3w * -1) = 4w -72 + 8w + (7 + -3w) = 4w Reorder the terms: -72 + 7 + 8w + -3w = 4w Combine like terms: -72 + 7 = -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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