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Simplifying 5(w + -1) = 9w + 3 + -2(-4 + -5) Reorder the terms: 5(-1 + w) = 9w + 3 + -2(-4 + -5) (-1 * 5 + w * 5) = 9w + 3 + -2(-4 + -5) (-5 + 5w) = 9w + 3 + -2(-4 + -5) Combine like terms: -4 + -5 = -9 -5 + 5w = 9w + 3 + -2(-9) Multiply -2 * -9 -5 + 5w = 9w + 3 + 18 Reorder the terms: -5 + 5w = 3 + 18 + 9w Combine like terms: 3 + 18 = 21 -5 + 5w = 21 + 9w Solving -5 + 5w = 21 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -5 + 5w + -9w = 21 + 9w + -9w Combine like terms: 5w + -9w = -4w -5 + -4w = 21 + 9w + -9w Combine like terms: 9w + -9w = 0 -5 + -4w = 21 + 0 -5 + -4w = 21 Add '5' to each side of the equation. -5 + 5 + -4w = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -4w = 21 + 5 -4w = 21 + 5 Combine like terms: 21 + 5 = 26 -4w = 26 Divide each side by '-4'. w = -6.5 Simplifying w = -6.5
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