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Simplifying 9(w + 3) + 8 = 3w + -7 Reorder the terms: 9(3 + w) + 8 = 3w + -7 (3 * 9 + w * 9) + 8 = 3w + -7 (27 + 9w) + 8 = 3w + -7 Reorder the terms: 27 + 8 + 9w = 3w + -7 Combine like terms: 27 + 8 = 35 35 + 9w = 3w + -7 Reorder the terms: 35 + 9w = -7 + 3w Solving 35 + 9w = -7 + 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. 35 + 9w + -3w = -7 + 3w + -3w Combine like terms: 9w + -3w = 6w 35 + 6w = -7 + 3w + -3w Combine like terms: 3w + -3w = 0 35 + 6w = -7 + 0 35 + 6w = -7 Add '-35' to each side of the equation. 35 + -35 + 6w = -7 + -35 Combine like terms: 35 + -35 = 0 0 + 6w = -7 + -35 6w = -7 + -35 Combine like terms: -7 + -35 = -42 6w = -42 Divide each side by '6'. w = -7 Simplifying w = -7
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