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Simplifying 27 = 7w + 6(w + -2) Reorder the terms: 27 = 7w + 6(-2 + w) 27 = 7w + (-2 * 6 + w * 6) 27 = 7w + (-12 + 6w) Reorder the terms: 27 = -12 + 7w + 6w Combine like terms: 7w + 6w = 13w 27 = -12 + 13w Solving 27 = -12 + 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. 27 + -13w = -12 + 13w + -13w Combine like terms: 13w + -13w = 0 27 + -13w = -12 + 0 27 + -13w = -12 Add '-27' to each side of the equation. 27 + -27 + -13w = -12 + -27 Combine like terms: 27 + -27 = 0 0 + -13w = -12 + -27 -13w = -12 + -27 Combine like terms: -12 + -27 = -39 -13w = -39 Divide each side by '-13'. w = 3 Simplifying w = 3
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