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Simplifying 5w + 1 + -2(-7w + -3) = 3(w + -1) Reorder the terms: 5w + 1 + -2(-3 + -7w) = 3(w + -1) 5w + 1 + (-3 * -2 + -7w * -2) = 3(w + -1) 5w + 1 + (6 + 14w) = 3(w + -1) Reorder the terms: 1 + 6 + 5w + 14w = 3(w + -1) Combine like terms: 1 + 6 = 7 7 + 5w + 14w = 3(w + -1) Combine like terms: 5w + 14w = 19w 7 + 19w = 3(w + -1) Reorder the terms: 7 + 19w = 3(-1 + w) 7 + 19w = (-1 * 3 + w * 3) 7 + 19w = (-3 + 3w) Solving 7 + 19w = -3 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 7 + 19w + -3w = -3 + 3w + -3w Combine like terms: 19w + -3w = 16w 7 + 16w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 7 + 16w = -3 + 0 7 + 16w = -3 Add '-7' to each side of the equation. 7 + -7 + 16w = -3 + -7 Combine like terms: 7 + -7 = 0 0 + 16w = -3 + -7 16w = -3 + -7 Combine like terms: -3 + -7 = -10 16w = -10 Divide each side by '16'. w = -0.625 Simplifying w = -0.625
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