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Simplifying 6w + -6 = 9(w + 2) Reorder the terms: -6 + 6w = 9(w + 2) Reorder the terms: -6 + 6w = 9(2 + w) -6 + 6w = (2 * 9 + w * 9) -6 + 6w = (18 + 9w) Solving -6 + 6w = 18 + 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. -6 + 6w + -9w = 18 + 9w + -9w Combine like terms: 6w + -9w = -3w -6 + -3w = 18 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + -3w = 18 + 0 -6 + -3w = 18 Add '6' to each side of the equation. -6 + 6 + -3w = 18 + 6 Combine like terms: -6 + 6 = 0 0 + -3w = 18 + 6 -3w = 18 + 6 Combine like terms: 18 + 6 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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