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Simplifying 6(w + 7) + -1(8 + -6w) = 11w Reorder the terms: 6(7 + w) + -1(8 + -6w) = 11w (7 * 6 + w * 6) + -1(8 + -6w) = 11w (42 + 6w) + -1(8 + -6w) = 11w 42 + 6w + (8 * -1 + -6w * -1) = 11w 42 + 6w + (-8 + 6w) = 11w Reorder the terms: 42 + -8 + 6w + 6w = 11w Combine like terms: 42 + -8 = 34 34 + 6w + 6w = 11w Combine like terms: 6w + 6w = 12w 34 + 12w = 11w Solving 34 + 12w = 11w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11w' to each side of the equation. 34 + 12w + -11w = 11w + -11w Combine like terms: 12w + -11w = 1w 34 + 1w = 11w + -11w Combine like terms: 11w + -11w = 0 34 + 1w = 0 Add '-34' to each side of the equation. 34 + -34 + 1w = 0 + -34 Combine like terms: 34 + -34 = 0 0 + 1w = 0 + -34 1w = 0 + -34 Combine like terms: 0 + -34 = -34 1w = -34 Divide each side by '1'. w = -34 Simplifying w = -34
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