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Simplifying 4(w + -11) + -24 = -3(w + -2) + -5 + -2w Reorder the terms: 4(-11 + w) + -24 = -3(w + -2) + -5 + -2w (-11 * 4 + w * 4) + -24 = -3(w + -2) + -5 + -2w (-44 + 4w) + -24 = -3(w + -2) + -5 + -2w Reorder the terms: -44 + -24 + 4w = -3(w + -2) + -5 + -2w Combine like terms: -44 + -24 = -68 -68 + 4w = -3(w + -2) + -5 + -2w Reorder the terms: -68 + 4w = -3(-2 + w) + -5 + -2w -68 + 4w = (-2 * -3 + w * -3) + -5 + -2w -68 + 4w = (6 + -3w) + -5 + -2w Reorder the terms: -68 + 4w = 6 + -5 + -3w + -2w Combine like terms: 6 + -5 = 1 -68 + 4w = 1 + -3w + -2w Combine like terms: -3w + -2w = -5w -68 + 4w = 1 + -5w Solving -68 + 4w = 1 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -68 + 4w + 5w = 1 + -5w + 5w Combine like terms: 4w + 5w = 9w -68 + 9w = 1 + -5w + 5w Combine like terms: -5w + 5w = 0 -68 + 9w = 1 + 0 -68 + 9w = 1 Add '68' to each side of the equation. -68 + 68 + 9w = 1 + 68 Combine like terms: -68 + 68 = 0 0 + 9w = 1 + 68 9w = 1 + 68 Combine like terms: 1 + 68 = 69 9w = 69 Divide each side by '9'. w = 7.666666667 Simplifying w = 7.666666667
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