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Simplifying 1 + -4w + 2(2 + -1w) = 3w + 7 1 + -4w + (2 * 2 + -1w * 2) = 3w + 7 1 + -4w + (4 + -2w) = 3w + 7 Reorder the terms: 1 + 4 + -4w + -2w = 3w + 7 Combine like terms: 1 + 4 = 5 5 + -4w + -2w = 3w + 7 Combine like terms: -4w + -2w = -6w 5 + -6w = 3w + 7 Reorder the terms: 5 + -6w = 7 + 3w Solving 5 + -6w = 7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5 + -6w + -3w = 7 + 3w + -3w Combine like terms: -6w + -3w = -9w 5 + -9w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + -9w = 7 + 0 5 + -9w = 7 Add '-5' to each side of the equation. 5 + -5 + -9w = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -9w = 7 + -5 -9w = 7 + -5 Combine like terms: 7 + -5 = 2 -9w = 2 Divide each side by '-9'. w = -0.2222222222 Simplifying w = -0.2222222222
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