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Simplifying 5(w + -6) + -3 = 4(-5w + 9) + -6w Reorder the terms: 5(-6 + w) + -3 = 4(-5w + 9) + -6w (-6 * 5 + w * 5) + -3 = 4(-5w + 9) + -6w (-30 + 5w) + -3 = 4(-5w + 9) + -6w Reorder the terms: -30 + -3 + 5w = 4(-5w + 9) + -6w Combine like terms: -30 + -3 = -33 -33 + 5w = 4(-5w + 9) + -6w Reorder the terms: -33 + 5w = 4(9 + -5w) + -6w -33 + 5w = (9 * 4 + -5w * 4) + -6w -33 + 5w = (36 + -20w) + -6w Combine like terms: -20w + -6w = -26w -33 + 5w = 36 + -26w Solving -33 + 5w = 36 + -26w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '26w' to each side of the equation. -33 + 5w + 26w = 36 + -26w + 26w Combine like terms: 5w + 26w = 31w -33 + 31w = 36 + -26w + 26w Combine like terms: -26w + 26w = 0 -33 + 31w = 36 + 0 -33 + 31w = 36 Add '33' to each side of the equation. -33 + 33 + 31w = 36 + 33 Combine like terms: -33 + 33 = 0 0 + 31w = 36 + 33 31w = 36 + 33 Combine like terms: 36 + 33 = 69 31w = 69 Divide each side by '31'. w = 2.225806452 Simplifying w = 2.225806452
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