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Simplifying 4w + -9(w + -7) = 6(w + -2) Reorder the terms: 4w + -9(-7 + w) = 6(w + -2) 4w + (-7 * -9 + w * -9) = 6(w + -2) 4w + (63 + -9w) = 6(w + -2) Reorder the terms: 63 + 4w + -9w = 6(w + -2) Combine like terms: 4w + -9w = -5w 63 + -5w = 6(w + -2) Reorder the terms: 63 + -5w = 6(-2 + w) 63 + -5w = (-2 * 6 + w * 6) 63 + -5w = (-12 + 6w) Solving 63 + -5w = -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. 63 + -5w + -6w = -12 + 6w + -6w Combine like terms: -5w + -6w = -11w 63 + -11w = -12 + 6w + -6w Combine like terms: 6w + -6w = 0 63 + -11w = -12 + 0 63 + -11w = -12 Add '-63' to each side of the equation. 63 + -63 + -11w = -12 + -63 Combine like terms: 63 + -63 = 0 0 + -11w = -12 + -63 -11w = -12 + -63 Combine like terms: -12 + -63 = -75 -11w = -75 Divide each side by '-11'. w = 6.818181818 Simplifying w = 6.818181818
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