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Simplifying 2(5w + -6) + -4w = -3w + -39 Reorder the terms: 2(-6 + 5w) + -4w = -3w + -39 (-6 * 2 + 5w * 2) + -4w = -3w + -39 (-12 + 10w) + -4w = -3w + -39 Combine like terms: 10w + -4w = 6w -12 + 6w = -3w + -39 Reorder the terms: -12 + 6w = -39 + -3w Solving -12 + 6w = -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. -12 + 6w + 3w = -39 + -3w + 3w Combine like terms: 6w + 3w = 9w -12 + 9w = -39 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + 9w = -39 + 0 -12 + 9w = -39 Add '12' to each side of the equation. -12 + 12 + 9w = -39 + 12 Combine like terms: -12 + 12 = 0 0 + 9w = -39 + 12 9w = -39 + 12 Combine like terms: -39 + 12 = -27 9w = -27 Divide each side by '9'. w = -3 Simplifying w = -3
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