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Simplifying -8w + 7 = -3(w + -9) Reorder the terms: 7 + -8w = -3(w + -9) Reorder the terms: 7 + -8w = -3(-9 + w) 7 + -8w = (-9 * -3 + w * -3) 7 + -8w = (27 + -3w) Solving 7 + -8w = 27 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. 7 + -8w + 3w = 27 + -3w + 3w Combine like terms: -8w + 3w = -5w 7 + -5w = 27 + -3w + 3w Combine like terms: -3w + 3w = 0 7 + -5w = 27 + 0 7 + -5w = 27 Add '-7' to each side of the equation. 7 + -7 + -5w = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -5w = 27 + -7 -5w = 27 + -7 Combine like terms: 27 + -7 = 20 -5w = 20 Divide each side by '-5'. w = -4 Simplifying w = -4
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