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Simplifying 3(w + -6) = 2(6 + -1w) Reorder the terms: 3(-6 + w) = 2(6 + -1w) (-6 * 3 + w * 3) = 2(6 + -1w) (-18 + 3w) = 2(6 + -1w) -18 + 3w = (6 * 2 + -1w * 2) -18 + 3w = (12 + -2w) Solving -18 + 3w = 12 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -18 + 3w + 2w = 12 + -2w + 2w Combine like terms: 3w + 2w = 5w -18 + 5w = 12 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 5w = 12 + 0 -18 + 5w = 12 Add '18' to each side of the equation. -18 + 18 + 5w = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 5w = 12 + 18 5w = 12 + 18 Combine like terms: 12 + 18 = 30 5w = 30 Divide each side by '5'. w = 6 Simplifying w = 6
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