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Simplifying 4(2w + 3) = 5(w + -7) Reorder the terms: 4(3 + 2w) = 5(w + -7) (3 * 4 + 2w * 4) = 5(w + -7) (12 + 8w) = 5(w + -7) Reorder the terms: 12 + 8w = 5(-7 + w) 12 + 8w = (-7 * 5 + w * 5) 12 + 8w = (-35 + 5w) Solving 12 + 8w = -35 + 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. 12 + 8w + -5w = -35 + 5w + -5w Combine like terms: 8w + -5w = 3w 12 + 3w = -35 + 5w + -5w Combine like terms: 5w + -5w = 0 12 + 3w = -35 + 0 12 + 3w = -35 Add '-12' to each side of the equation. 12 + -12 + 3w = -35 + -12 Combine like terms: 12 + -12 = 0 0 + 3w = -35 + -12 3w = -35 + -12 Combine like terms: -35 + -12 = -47 3w = -47 Divide each side by '3'. w = -15.66666667 Simplifying w = -15.66666667
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