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Simplifying 12(w + 9) + 2 = 7w + -1 Reorder the terms: 12(9 + w) + 2 = 7w + -1 (9 * 12 + w * 12) + 2 = 7w + -1 (108 + 12w) + 2 = 7w + -1 Reorder the terms: 108 + 2 + 12w = 7w + -1 Combine like terms: 108 + 2 = 110 110 + 12w = 7w + -1 Reorder the terms: 110 + 12w = -1 + 7w Solving 110 + 12w = -1 + 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. 110 + 12w + -7w = -1 + 7w + -7w Combine like terms: 12w + -7w = 5w 110 + 5w = -1 + 7w + -7w Combine like terms: 7w + -7w = 0 110 + 5w = -1 + 0 110 + 5w = -1 Add '-110' to each side of the equation. 110 + -110 + 5w = -1 + -110 Combine like terms: 110 + -110 = 0 0 + 5w = -1 + -110 5w = -1 + -110 Combine like terms: -1 + -110 = -111 5w = -111 Divide each side by '5'. w = -22.2 Simplifying w = -22.2
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