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Simplifying -2(2w + -4) + 9w = 6 + 2(7w + -5) Reorder the terms: -2(-4 + 2w) + 9w = 6 + 2(7w + -5) (-4 * -2 + 2w * -2) + 9w = 6 + 2(7w + -5) (8 + -4w) + 9w = 6 + 2(7w + -5) Combine like terms: -4w + 9w = 5w 8 + 5w = 6 + 2(7w + -5) Reorder the terms: 8 + 5w = 6 + 2(-5 + 7w) 8 + 5w = 6 + (-5 * 2 + 7w * 2) 8 + 5w = 6 + (-10 + 14w) Combine like terms: 6 + -10 = -4 8 + 5w = -4 + 14w Solving 8 + 5w = -4 + 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. 8 + 5w + -14w = -4 + 14w + -14w Combine like terms: 5w + -14w = -9w 8 + -9w = -4 + 14w + -14w Combine like terms: 14w + -14w = 0 8 + -9w = -4 + 0 8 + -9w = -4 Add '-8' to each side of the equation. 8 + -8 + -9w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -9w = -4 + -8 -9w = -4 + -8 Combine like terms: -4 + -8 = -12 -9w = -12 Divide each side by '-9'. w = 1.333333333 Simplifying w = 1.333333333
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