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Simplifying 3(w + -6) = 8w + 2 Reorder the terms: 3(-6 + w) = 8w + 2 (-6 * 3 + w * 3) = 8w + 2 (-18 + 3w) = 8w + 2 Reorder the terms: -18 + 3w = 2 + 8w Solving -18 + 3w = 2 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -18 + 3w + -8w = 2 + 8w + -8w Combine like terms: 3w + -8w = -5w -18 + -5w = 2 + 8w + -8w Combine like terms: 8w + -8w = 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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