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Simplifying -5(w + 5) + -1(8 + -9w) = 3w Reorder the terms: -5(5 + w) + -1(8 + -9w) = 3w (5 * -5 + w * -5) + -1(8 + -9w) = 3w (-25 + -5w) + -1(8 + -9w) = 3w -25 + -5w + (8 * -1 + -9w * -1) = 3w -25 + -5w + (-8 + 9w) = 3w Reorder the terms: -25 + -8 + -5w + 9w = 3w Combine like terms: -25 + -8 = -33 -33 + -5w + 9w = 3w Combine like terms: -5w + 9w = 4w -33 + 4w = 3w Solving -33 + 4w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -33 + 4w + -3w = 3w + -3w Combine like terms: 4w + -3w = 1w -33 + 1w = 3w + -3w Combine like terms: 3w + -3w = 0 -33 + 1w = 0 Add '33' to each side of the equation. -33 + 33 + 1w = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1w = 0 + 33 1w = 0 + 33 Combine like terms: 0 + 33 = 33 1w = 33 Divide each side by '1'. w = 33 Simplifying w = 33
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