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Simplifying 3 + 2(2w + -1) = -2(6w + -2) + 7w Reorder the terms: 3 + 2(-1 + 2w) = -2(6w + -2) + 7w 3 + (-1 * 2 + 2w * 2) = -2(6w + -2) + 7w 3 + (-2 + 4w) = -2(6w + -2) + 7w Combine like terms: 3 + -2 = 1 1 + 4w = -2(6w + -2) + 7w Reorder the terms: 1 + 4w = -2(-2 + 6w) + 7w 1 + 4w = (-2 * -2 + 6w * -2) + 7w 1 + 4w = (4 + -12w) + 7w Combine like terms: -12w + 7w = -5w 1 + 4w = 4 + -5w Solving 1 + 4w = 4 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 1 + 4w + 5w = 4 + -5w + 5w Combine like terms: 4w + 5w = 9w 1 + 9w = 4 + -5w + 5w Combine like terms: -5w + 5w = 0 1 + 9w = 4 + 0 1 + 9w = 4 Add '-1' to each side of the equation. 1 + -1 + 9w = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 9w = 4 + -1 9w = 4 + -1 Combine like terms: 4 + -1 = 3 9w = 3 Divide each side by '9'. w = 0.3333333333 Simplifying w = 0.3333333333
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