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Simplifying -3(3w + -1) + w = 7 + 2(3w + -3) Reorder the terms: -3(-1 + 3w) + w = 7 + 2(3w + -3) (-1 * -3 + 3w * -3) + w = 7 + 2(3w + -3) (3 + -9w) + w = 7 + 2(3w + -3) Combine like terms: -9w + w = -8w 3 + -8w = 7 + 2(3w + -3) Reorder the terms: 3 + -8w = 7 + 2(-3 + 3w) 3 + -8w = 7 + (-3 * 2 + 3w * 2) 3 + -8w = 7 + (-6 + 6w) Combine like terms: 7 + -6 = 1 3 + -8w = 1 + 6w Solving 3 + -8w = 1 + 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. 3 + -8w + -6w = 1 + 6w + -6w Combine like terms: -8w + -6w = -14w 3 + -14w = 1 + 6w + -6w Combine like terms: 6w + -6w = 0 3 + -14w = 1 + 0 3 + -14w = 1 Add '-3' to each side of the equation. 3 + -3 + -14w = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -14w = 1 + -3 -14w = 1 + -3 Combine like terms: 1 + -3 = -2 -14w = -2 Divide each side by '-14'. w = 0.1428571429 Simplifying w = 0.1428571429
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