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Simplifying 7 + 4(2w + -2) = -2(5w + -1) + 9w Reorder the terms: 7 + 4(-2 + 2w) = -2(5w + -1) + 9w 7 + (-2 * 4 + 2w * 4) = -2(5w + -1) + 9w 7 + (-8 + 8w) = -2(5w + -1) + 9w Combine like terms: 7 + -8 = -1 -1 + 8w = -2(5w + -1) + 9w Reorder the terms: -1 + 8w = -2(-1 + 5w) + 9w -1 + 8w = (-1 * -2 + 5w * -2) + 9w -1 + 8w = (2 + -10w) + 9w Combine like terms: -10w + 9w = -1w -1 + 8w = 2 + -1w Solving -1 + 8w = 2 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -1 + 8w + w = 2 + -1w + w Combine like terms: 8w + w = 9w -1 + 9w = 2 + -1w + w Combine like terms: -1w + w = 0 -1 + 9w = 2 + 0 -1 + 9w = 2 Add '1' to each side of the equation. -1 + 1 + 9w = 2 + 1 Combine like terms: -1 + 1 = 0 0 + 9w = 2 + 1 9w = 2 + 1 Combine like terms: 2 + 1 = 3 9w = 3 Divide each side by '9'. w = 0.3333333333 Simplifying w = 0.3333333333
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