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