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Simplifying 9(w + -2) = 6w + -6 Reorder the terms: 9(-2 + w) = 6w + -6 (-2 * 9 + w * 9) = 6w + -6 (-18 + 9w) = 6w + -6 Reorder the terms: -18 + 9w = -6 + 6w Solving -18 + 9w = -6 + 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. -18 + 9w + -6w = -6 + 6w + -6w Combine like terms: 9w + -6w = 3w -18 + 3w = -6 + 6w + -6w Combine like terms: 6w + -6w = 0 -18 + 3w = -6 + 0 -18 + 3w = -6 Add '18' to each side of the equation. -18 + 18 + 3w = -6 + 18 Combine like terms: -18 + 18 = 0 0 + 3w = -6 + 18 3w = -6 + 18 Combine like terms: -6 + 18 = 12 3w = 12 Divide each side by '3'. w = 4 Simplifying w = 4
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