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Simplifying 5w + 7 + -2(-7w + -4) = 3(w + -1) Reorder the terms: 5w + 7 + -2(-4 + -7w) = 3(w + -1) 5w + 7 + (-4 * -2 + -7w * -2) = 3(w + -1) 5w + 7 + (8 + 14w) = 3(w + -1) Reorder the terms: 7 + 8 + 5w + 14w = 3(w + -1) Combine like terms: 7 + 8 = 15 15 + 5w + 14w = 3(w + -1) Combine like terms: 5w + 14w = 19w 15 + 19w = 3(w + -1) Reorder the terms: 15 + 19w = 3(-1 + w) 15 + 19w = (-1 * 3 + w * 3) 15 + 19w = (-3 + 3w) Solving 15 + 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. 15 + 19w + -3w = -3 + 3w + -3w Combine like terms: 19w + -3w = 16w 15 + 16w = -3 + 3w + -3w Combine like terms: 3w + -3w = 0 15 + 16w = -3 + 0 15 + 16w = -3 Add '-15' to each side of the equation. 15 + -15 + 16w = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 16w = -3 + -15 16w = -3 + -15 Combine like terms: -3 + -15 = -18 16w = -18 Divide each side by '16'. w = -1.125 Simplifying w = -1.125
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