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Simplifying 2w + 3 + -4w = 17 + -1(3w + 2) Reorder the terms: 3 + 2w + -4w = 17 + -1(3w + 2) Combine like terms: 2w + -4w = -2w 3 + -2w = 17 + -1(3w + 2) Reorder the terms: 3 + -2w = 17 + -1(2 + 3w) 3 + -2w = 17 + (2 * -1 + 3w * -1) 3 + -2w = 17 + (-2 + -3w) Combine like terms: 17 + -2 = 15 3 + -2w = 15 + -3w Solving 3 + -2w = 15 + -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. 3 + -2w + 3w = 15 + -3w + 3w Combine like terms: -2w + 3w = 1w 3 + 1w = 15 + -3w + 3w Combine like terms: -3w + 3w = 0 3 + 1w = 15 + 0 3 + 1w = 15 Add '-3' to each side of the equation. 3 + -3 + 1w = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1w = 15 + -3 1w = 15 + -3 Combine like terms: 15 + -3 = 12 1w = 12 Divide each side by '1'. w = 12 Simplifying w = 12
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