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Simplifying 7 + 2(3w + -3) = -3(3w + -3) + w Reorder the terms: 7 + 2(-3 + 3w) = -3(3w + -3) + w 7 + (-3 * 2 + 3w * 2) = -3(3w + -3) + w 7 + (-6 + 6w) = -3(3w + -3) + w Combine like terms: 7 + -6 = 1 1 + 6w = -3(3w + -3) + w Reorder the terms: 1 + 6w = -3(-3 + 3w) + w 1 + 6w = (-3 * -3 + 3w * -3) + w 1 + 6w = (9 + -9w) + w Combine like terms: -9w + w = -8w 1 + 6w = 9 + -8w Solving 1 + 6w = 9 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 1 + 6w + 8w = 9 + -8w + 8w Combine like terms: 6w + 8w = 14w 1 + 14w = 9 + -8w + 8w Combine like terms: -8w + 8w = 0 1 + 14w = 9 + 0 1 + 14w = 9 Add '-1' to each side of the equation. 1 + -1 + 14w = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 14w = 9 + -1 14w = 9 + -1 Combine like terms: 9 + -1 = 8 14w = 8 Divide each side by '14'. w = 0.5714285714 Simplifying w = 0.5714285714
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