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Simplifying 7w + 27 = -6(w + 2) Reorder the terms: 27 + 7w = -6(w + 2) Reorder the terms: 27 + 7w = -6(2 + w) 27 + 7w = (2 * -6 + w * -6) 27 + 7w = (-12 + -6w) Solving 27 + 7w = -12 + -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. 27 + 7w + 6w = -12 + -6w + 6w Combine like terms: 7w + 6w = 13w 27 + 13w = -12 + -6w + 6w Combine like terms: -6w + 6w = 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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