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Simplifying 7w + 3 + -2(-6w + -4) = 5(w + -1) Reorder the terms: 7w + 3 + -2(-4 + -6w) = 5(w + -1) 7w + 3 + (-4 * -2 + -6w * -2) = 5(w + -1) 7w + 3 + (8 + 12w) = 5(w + -1) Reorder the terms: 3 + 8 + 7w + 12w = 5(w + -1) Combine like terms: 3 + 8 = 11 11 + 7w + 12w = 5(w + -1) Combine like terms: 7w + 12w = 19w 11 + 19w = 5(w + -1) Reorder the terms: 11 + 19w = 5(-1 + w) 11 + 19w = (-1 * 5 + w * 5) 11 + 19w = (-5 + 5w) Solving 11 + 19w = -5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 11 + 19w + -5w = -5 + 5w + -5w Combine like terms: 19w + -5w = 14w 11 + 14w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 11 + 14w = -5 + 0 11 + 14w = -5 Add '-11' to each side of the equation. 11 + -11 + 14w = -5 + -11 Combine like terms: 11 + -11 = 0 0 + 14w = -5 + -11 14w = -5 + -11 Combine like terms: -5 + -11 = -16 14w = -16 Divide each side by '14'. w = -1.142857143 Simplifying w = -1.142857143
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