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Simplifying 39 = (6w + -14) + (7w + -12) Reorder the terms: 39 = (-14 + 6w) + (7w + -12) Remove parenthesis around (-14 + 6w) 39 = -14 + 6w + (7w + -12) Reorder the terms: 39 = -14 + 6w + (-12 + 7w) Remove parenthesis around (-12 + 7w) 39 = -14 + 6w + -12 + 7w Reorder the terms: 39 = -14 + -12 + 6w + 7w Combine like terms: -14 + -12 = -26 39 = -26 + 6w + 7w Combine like terms: 6w + 7w = 13w 39 = -26 + 13w Solving 39 = -26 + 13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-13w' to each side of the equation. 39 + -13w = -26 + 13w + -13w Combine like terms: 13w + -13w = 0 39 + -13w = -26 + 0 39 + -13w = -26 Add '-39' to each side of the equation. 39 + -39 + -13w = -26 + -39 Combine like terms: 39 + -39 = 0 0 + -13w = -26 + -39 -13w = -26 + -39 Combine like terms: -26 + -39 = -65 -13w = -65 Divide each side by '-13'. w = 5 Simplifying w = 5
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