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