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Simplifying 3(w + -6) = -2w + 2 Reorder the terms: 3(-6 + w) = -2w + 2 (-6 * 3 + w * 3) = -2w + 2 (-18 + 3w) = -2w + 2 Reorder the terms: -18 + 3w = 2 + -2w Solving -18 + 3w = 2 + -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 = 2 + -2w + 2w Combine like terms: 3w + 2w = 5w -18 + 5w = 2 + -2w + 2w Combine like terms: -2w + 2w = 0 -18 + 5w = 2 + 0 -18 + 5w = 2 Add '18' to each side of the equation. -18 + 18 + 5w = 2 + 18 Combine like terms: -18 + 18 = 0 0 + 5w = 2 + 18 5w = 2 + 18 Combine like terms: 2 + 18 = 20 5w = 20 Divide each side by '5'. w = 4 Simplifying w = 4
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