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Simplifying -3(3w + -1) + 4w = 7 + 3(3w + -4) Reorder the terms: -3(-1 + 3w) + 4w = 7 + 3(3w + -4) (-1 * -3 + 3w * -3) + 4w = 7 + 3(3w + -4) (3 + -9w) + 4w = 7 + 3(3w + -4) Combine like terms: -9w + 4w = -5w 3 + -5w = 7 + 3(3w + -4) Reorder the terms: 3 + -5w = 7 + 3(-4 + 3w) 3 + -5w = 7 + (-4 * 3 + 3w * 3) 3 + -5w = 7 + (-12 + 9w) Combine like terms: 7 + -12 = -5 3 + -5w = -5 + 9w Solving 3 + -5w = -5 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. 3 + -5w + -9w = -5 + 9w + -9w Combine like terms: -5w + -9w = -14w 3 + -14w = -5 + 9w + -9w Combine like terms: 9w + -9w = 0 3 + -14w = -5 + 0 3 + -14w = -5 Add '-3' to each side of the equation. 3 + -3 + -14w = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -14w = -5 + -3 -14w = -5 + -3 Combine like terms: -5 + -3 = -8 -14w = -8 Divide each side by '-14'. w = 0.5714285714 Simplifying w = 0.5714285714
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