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Simplifying 8w + -3(2w + -9) = 7(w + 2) Reorder the terms: 8w + -3(-9 + 2w) = 7(w + 2) 8w + (-9 * -3 + 2w * -3) = 7(w + 2) 8w + (27 + -6w) = 7(w + 2) Reorder the terms: 27 + 8w + -6w = 7(w + 2) Combine like terms: 8w + -6w = 2w 27 + 2w = 7(w + 2) Reorder the terms: 27 + 2w = 7(2 + w) 27 + 2w = (2 * 7 + w * 7) 27 + 2w = (14 + 7w) Solving 27 + 2w = 14 + 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. 27 + 2w + -7w = 14 + 7w + -7w Combine like terms: 2w + -7w = -5w 27 + -5w = 14 + 7w + -7w Combine like terms: 7w + -7w = 0 27 + -5w = 14 + 0 27 + -5w = 14 Add '-27' to each side of the equation. 27 + -27 + -5w = 14 + -27 Combine like terms: 27 + -27 = 0 0 + -5w = 14 + -27 -5w = 14 + -27 Combine like terms: 14 + -27 = -13 -5w = -13 Divide each side by '-5'. w = 2.6 Simplifying w = 2.6
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