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Simplifying 9(w + 4) = 3w + -18 Reorder the terms: 9(4 + w) = 3w + -18 (4 * 9 + w * 9) = 3w + -18 (36 + 9w) = 3w + -18 Reorder the terms: 36 + 9w = -18 + 3w Solving 36 + 9w = -18 + 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. 36 + 9w + -3w = -18 + 3w + -3w Combine like terms: 9w + -3w = 6w 36 + 6w = -18 + 3w + -3w Combine like terms: 3w + -3w = 0 36 + 6w = -18 + 0 36 + 6w = -18 Add '-36' to each side of the equation. 36 + -36 + 6w = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 6w = -18 + -36 6w = -18 + -36 Combine like terms: -18 + -36 = -54 6w = -54 Divide each side by '6'. w = -9 Simplifying w = -9
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