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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 = -67 -67 + -8w + 5w = -4w Combine like terms: -8w + 5w = -3w -67 + -3w = -4w Solving -67 + -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. -67 + -3w + 4w = -4w + 4w Combine like terms: -3w + 4w = 1w -67 + 1w = -4w + 4w Combine like terms: -4w + 4w = 0 -67 + 1w = 0 Add '67' to each side of the equation. -67 + 67 + 1w = 0 + 67 Combine like terms: -67 + 67 = 0 0 + 1w = 0 + 67 1w = 0 + 67 Combine like terms: 0 + 67 = 67 1w = 67 Divide each side by '1'. w = 67 Simplifying w = 67
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