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Simplifying 8 + 5(3w + -4) = 7(w + -12) Reorder the terms: 8 + 5(-4 + 3w) = 7(w + -12) 8 + (-4 * 5 + 3w * 5) = 7(w + -12) 8 + (-20 + 15w) = 7(w + -12) Combine like terms: 8 + -20 = -12 -12 + 15w = 7(w + -12) Reorder the terms: -12 + 15w = 7(-12 + w) -12 + 15w = (-12 * 7 + w * 7) -12 + 15w = (-84 + 7w) Solving -12 + 15w = -84 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. -12 + 15w + -7w = -84 + 7w + -7w Combine like terms: 15w + -7w = 8w -12 + 8w = -84 + 7w + -7w Combine like terms: 7w + -7w = 0 -12 + 8w = -84 + 0 -12 + 8w = -84 Add '12' to each side of the equation. -12 + 12 + 8w = -84 + 12 Combine like terms: -12 + 12 = 0 0 + 8w = -84 + 12 8w = -84 + 12 Combine like terms: -84 + 12 = -72 8w = -72 Divide each side by '8'. w = -9 Simplifying w = -9
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