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Simplifying 9w + -4w + 7 = 3(w + -2) + 9 Reorder the terms: 7 + 9w + -4w = 3(w + -2) + 9 Combine like terms: 9w + -4w = 5w 7 + 5w = 3(w + -2) + 9 Reorder the terms: 7 + 5w = 3(-2 + w) + 9 7 + 5w = (-2 * 3 + w * 3) + 9 7 + 5w = (-6 + 3w) + 9 Reorder the terms: 7 + 5w = -6 + 9 + 3w Combine like terms: -6 + 9 = 3 7 + 5w = 3 + 3w Solving 7 + 5w = 3 + 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 + 5w + -3w = 3 + 3w + -3w Combine like terms: 5w + -3w = 2w 7 + 2w = 3 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 2w = 3 + 0 7 + 2w = 3 Add '-7' to each side of the equation. 7 + -7 + 2w = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 2w = 3 + -7 2w = 3 + -7 Combine like terms: 3 + -7 = -4 2w = -4 Divide each side by '2'. w = -2 Simplifying w = -2
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