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Simplifying 5w + -1 = 3w + -2(7 + -4w) Reorder the terms: -1 + 5w = 3w + -2(7 + -4w) -1 + 5w = 3w + (7 * -2 + -4w * -2) -1 + 5w = 3w + (-14 + 8w) Reorder the terms: -1 + 5w = -14 + 3w + 8w Combine like terms: 3w + 8w = 11w -1 + 5w = -14 + 11w Solving -1 + 5w = -14 + 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. -1 + 5w + -11w = -14 + 11w + -11w Combine like terms: 5w + -11w = -6w -1 + -6w = -14 + 11w + -11w Combine like terms: 11w + -11w = 0 -1 + -6w = -14 + 0 -1 + -6w = -14 Add '1' to each side of the equation. -1 + 1 + -6w = -14 + 1 Combine like terms: -1 + 1 = 0 0 + -6w = -14 + 1 -6w = -14 + 1 Combine like terms: -14 + 1 = -13 -6w = -13 Divide each side by '-6'. w = 2.166666667 Simplifying w = 2.166666667
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