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Simplifying 9(w + 4) = 6(w + -3) Reorder the terms: 9(4 + w) = 6(w + -3) (4 * 9 + w * 9) = 6(w + -3) (36 + 9w) = 6(w + -3) Reorder the terms: 36 + 9w = 6(-3 + w) 36 + 9w = (-3 * 6 + w * 6) 36 + 9w = (-18 + 6w) Solving 36 + 9w = -18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 36 + 9w + -6w = -18 + 6w + -6w Combine like terms: 9w + -6w = 3w 36 + 3w = -18 + 6w + -6w Combine like terms: 6w + -6w = 0 36 + 3w = -18 + 0 36 + 3w = -18 Add '-36' to each side of the equation. 36 + -36 + 3w = -18 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = -18 + -36 3w = -18 + -36 Combine like terms: -18 + -36 = -54 3w = -54 Divide each side by '3'. w = -18 Simplifying w = -18
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