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Simplifying 7w + 7 + -3(-4w + -2) = 5(w + -1) Reorder the terms: 7w + 7 + -3(-2 + -4w) = 5(w + -1) 7w + 7 + (-2 * -3 + -4w * -3) = 5(w + -1) 7w + 7 + (6 + 12w) = 5(w + -1) Reorder the terms: 7 + 6 + 7w + 12w = 5(w + -1) Combine like terms: 7 + 6 = 13 13 + 7w + 12w = 5(w + -1) Combine like terms: 7w + 12w = 19w 13 + 19w = 5(w + -1) Reorder the terms: 13 + 19w = 5(-1 + w) 13 + 19w = (-1 * 5 + w * 5) 13 + 19w = (-5 + 5w) Solving 13 + 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. 13 + 19w + -5w = -5 + 5w + -5w Combine like terms: 19w + -5w = 14w 13 + 14w = -5 + 5w + -5w Combine like terms: 5w + -5w = 0 13 + 14w = -5 + 0 13 + 14w = -5 Add '-13' to each side of the equation. 13 + -13 + 14w = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 14w = -5 + -13 14w = -5 + -13 Combine like terms: -5 + -13 = -18 14w = -18 Divide each side by '14'. w = -1.285714286 Simplifying w = -1.285714286
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