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Simplifying 5(w + -1) = 9w + 3 + -2(-4w + -5) Reorder the terms: 5(-1 + w) = 9w + 3 + -2(-4w + -5) (-1 * 5 + w * 5) = 9w + 3 + -2(-4w + -5) (-5 + 5w) = 9w + 3 + -2(-4w + -5) Reorder the terms: -5 + 5w = 9w + 3 + -2(-5 + -4w) -5 + 5w = 9w + 3 + (-5 * -2 + -4w * -2) -5 + 5w = 9w + 3 + (10 + 8w) Reorder the terms: -5 + 5w = 3 + 10 + 9w + 8w Combine like terms: 3 + 10 = 13 -5 + 5w = 13 + 9w + 8w Combine like terms: 9w + 8w = 17w -5 + 5w = 13 + 17w Solving -5 + 5w = 13 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -5 + 5w + -17w = 13 + 17w + -17w Combine like terms: 5w + -17w = -12w -5 + -12w = 13 + 17w + -17w Combine like terms: 17w + -17w = 0 -5 + -12w = 13 + 0 -5 + -12w = 13 Add '5' to each side of the equation. -5 + 5 + -12w = 13 + 5 Combine like terms: -5 + 5 = 0 0 + -12w = 13 + 5 -12w = 13 + 5 Combine like terms: 13 + 5 = 18 -12w = 18 Divide each side by '-12'. w = -1.5 Simplifying w = -1.5
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