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Simplifying -14 + 3w + 2 = -3w + -39 + -3w Reorder the terms: -14 + 2 + 3w = -3w + -39 + -3w Combine like terms: -14 + 2 = -12 -12 + 3w = -3w + -39 + -3w Reorder the terms: -12 + 3w = -39 + -3w + -3w Combine like terms: -3w + -3w = -6w -12 + 3w = -39 + -6w Solving -12 + 3w = -39 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -12 + 3w + 6w = -39 + -6w + 6w Combine like terms: 3w + 6w = 9w -12 + 9w = -39 + -6w + 6w Combine like terms: -6w + 6w = 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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