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Simplifying 9(2 + w) + -4 = 3w + -10 (2 * 9 + w * 9) + -4 = 3w + -10 (18 + 9w) + -4 = 3w + -10 Reorder the terms: 18 + -4 + 9w = 3w + -10 Combine like terms: 18 + -4 = 14 14 + 9w = 3w + -10 Reorder the terms: 14 + 9w = -10 + 3w Solving 14 + 9w = -10 + 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. 14 + 9w + -3w = -10 + 3w + -3w Combine like terms: 9w + -3w = 6w 14 + 6w = -10 + 3w + -3w Combine like terms: 3w + -3w = 0 14 + 6w = -10 + 0 14 + 6w = -10 Add '-14' to each side of the equation. 14 + -14 + 6w = -10 + -14 Combine like terms: 14 + -14 = 0 0 + 6w = -10 + -14 6w = -10 + -14 Combine like terms: -10 + -14 = -24 6w = -24 Divide each side by '6'. w = -4 Simplifying w = -4
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