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Simplifying 5(w + 4) = -2(7w + -4) + w Reorder the terms: 5(4 + w) = -2(7w + -4) + w (4 * 5 + w * 5) = -2(7w + -4) + w (20 + 5w) = -2(7w + -4) + w Reorder the terms: 20 + 5w = -2(-4 + 7w) + w 20 + 5w = (-4 * -2 + 7w * -2) + w 20 + 5w = (8 + -14w) + w Combine like terms: -14w + w = -13w 20 + 5w = 8 + -13w Solving 20 + 5w = 8 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. 20 + 5w + 13w = 8 + -13w + 13w Combine like terms: 5w + 13w = 18w 20 + 18w = 8 + -13w + 13w Combine like terms: -13w + 13w = 0 20 + 18w = 8 + 0 20 + 18w = 8 Add '-20' to each side of the equation. 20 + -20 + 18w = 8 + -20 Combine like terms: 20 + -20 = 0 0 + 18w = 8 + -20 18w = 8 + -20 Combine like terms: 8 + -20 = -12 18w = -12 Divide each side by '18'. w = -0.6666666667 Simplifying w = -0.6666666667
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