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