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Simplifying -2(w + -3) = 3w + -39 Reorder the terms: -2(-3 + w) = 3w + -39 (-3 * -2 + w * -2) = 3w + -39 (6 + -2w) = 3w + -39 Reorder the terms: 6 + -2w = -39 + 3w Solving 6 + -2w = -39 + 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. 6 + -2w + -3w = -39 + 3w + -3w Combine like terms: -2w + -3w = -5w 6 + -5w = -39 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + -5w = -39 + 0 6 + -5w = -39 Add '-6' to each side of the equation. 6 + -6 + -5w = -39 + -6 Combine like terms: 6 + -6 = 0 0 + -5w = -39 + -6 -5w = -39 + -6 Combine like terms: -39 + -6 = -45 -5w = -45 Divide each side by '-5'. w = 9 Simplifying w = 9
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