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Simplifying 5(w + -4) + -9 = -5(-5w + 9) + -8w Reorder the terms: 5(-4 + w) + -9 = -5(-5w + 9) + -8w (-4 * 5 + w * 5) + -9 = -5(-5w + 9) + -8w (-20 + 5w) + -9 = -5(-5w + 9) + -8w Reorder the terms: -20 + -9 + 5w = -5(-5w + 9) + -8w Combine like terms: -20 + -9 = -29 -29 + 5w = -5(-5w + 9) + -8w Reorder the terms: -29 + 5w = -5(9 + -5w) + -8w -29 + 5w = (9 * -5 + -5w * -5) + -8w -29 + 5w = (-45 + 25w) + -8w Combine like terms: 25w + -8w = 17w -29 + 5w = -45 + 17w Solving -29 + 5w = -45 + 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. -29 + 5w + -17w = -45 + 17w + -17w Combine like terms: 5w + -17w = -12w -29 + -12w = -45 + 17w + -17w Combine like terms: 17w + -17w = 0 -29 + -12w = -45 + 0 -29 + -12w = -45 Add '29' to each side of the equation. -29 + 29 + -12w = -45 + 29 Combine like terms: -29 + 29 = 0 0 + -12w = -45 + 29 -12w = -45 + 29 Combine like terms: -45 + 29 = -16 -12w = -16 Divide each side by '-12'. w = 1.333333333 Simplifying w = 1.333333333
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