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Simplifying -3(5w + -3) + 7w = 9 + 2(3w + -3) Reorder the terms: -3(-3 + 5w) + 7w = 9 + 2(3w + -3) (-3 * -3 + 5w * -3) + 7w = 9 + 2(3w + -3) (9 + -15w) + 7w = 9 + 2(3w + -3) Combine like terms: -15w + 7w = -8w 9 + -8w = 9 + 2(3w + -3) Reorder the terms: 9 + -8w = 9 + 2(-3 + 3w) 9 + -8w = 9 + (-3 * 2 + 3w * 2) 9 + -8w = 9 + (-6 + 6w) Combine like terms: 9 + -6 = 3 9 + -8w = 3 + 6w Solving 9 + -8w = 3 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. 9 + -8w + -6w = 3 + 6w + -6w Combine like terms: -8w + -6w = -14w 9 + -14w = 3 + 6w + -6w Combine like terms: 6w + -6w = 0 9 + -14w = 3 + 0 9 + -14w = 3 Add '-9' to each side of the equation. 9 + -9 + -14w = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -14w = 3 + -9 -14w = 3 + -9 Combine like terms: 3 + -9 = -6 -14w = -6 Divide each side by '-14'. w = 0.4285714286 Simplifying w = 0.4285714286
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