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Simplifying -2(4w + -5) + 8 = -6 + 2(7w + -1) Reorder the terms: -2(-5 + 4w) + 8 = -6 + 2(7w + -1) (-5 * -2 + 4w * -2) + 8 = -6 + 2(7w + -1) (10 + -8w) + 8 = -6 + 2(7w + -1) Reorder the terms: 10 + 8 + -8w = -6 + 2(7w + -1) Combine like terms: 10 + 8 = 18 18 + -8w = -6 + 2(7w + -1) Reorder the terms: 18 + -8w = -6 + 2(-1 + 7w) 18 + -8w = -6 + (-1 * 2 + 7w * 2) 18 + -8w = -6 + (-2 + 14w) Combine like terms: -6 + -2 = -8 18 + -8w = -8 + 14w Solving 18 + -8w = -8 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. 18 + -8w + -14w = -8 + 14w + -14w Combine like terms: -8w + -14w = -22w 18 + -22w = -8 + 14w + -14w Combine like terms: 14w + -14w = 0 18 + -22w = -8 + 0 18 + -22w = -8 Add '-18' to each side of the equation. 18 + -18 + -22w = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -22w = -8 + -18 -22w = -8 + -18 Combine like terms: -8 + -18 = -26 -22w = -26 Divide each side by '-22'. w = 1.181818182 Simplifying w = 1.181818182
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