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Simplifying 2(8 + -1w) + 7 = -7(w + -3) + -3 (8 * 2 + -1w * 2) + 7 = -7(w + -3) + -3 (16 + -2w) + 7 = -7(w + -3) + -3 Reorder the terms: 16 + 7 + -2w = -7(w + -3) + -3 Combine like terms: 16 + 7 = 23 23 + -2w = -7(w + -3) + -3 Reorder the terms: 23 + -2w = -7(-3 + w) + -3 23 + -2w = (-3 * -7 + w * -7) + -3 23 + -2w = (21 + -7w) + -3 Reorder the terms: 23 + -2w = 21 + -3 + -7w Combine like terms: 21 + -3 = 18 23 + -2w = 18 + -7w Solving 23 + -2w = 18 + -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. 23 + -2w + 7w = 18 + -7w + 7w Combine like terms: -2w + 7w = 5w 23 + 5w = 18 + -7w + 7w Combine like terms: -7w + 7w = 0 23 + 5w = 18 + 0 23 + 5w = 18 Add '-23' to each side of the equation. 23 + -23 + 5w = 18 + -23 Combine like terms: 23 + -23 = 0 0 + 5w = 18 + -23 5w = 18 + -23 Combine like terms: 18 + -23 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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