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Simplifying 4(w + 1) = 2(1 + -2w) + -6 Reorder the terms: 4(1 + w) = 2(1 + -2w) + -6 (1 * 4 + w * 4) = 2(1 + -2w) + -6 (4 + 4w) = 2(1 + -2w) + -6 4 + 4w = (1 * 2 + -2w * 2) + -6 4 + 4w = (2 + -4w) + -6 Reorder the terms: 4 + 4w = 2 + -6 + -4w Combine like terms: 2 + -6 = -4 4 + 4w = -4 + -4w Solving 4 + 4w = -4 + -4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4w' to each side of the equation. 4 + 4w + 4w = -4 + -4w + 4w Combine like terms: 4w + 4w = 8w 4 + 8w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 8w = -4 + 0 4 + 8w = -4 Add '-4' to each side of the equation. 4 + -4 + 8w = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = -4 + -4 8w = -4 + -4 Combine like terms: -4 + -4 = -8 8w = -8 Divide each side by '8'. w = -1 Simplifying w = -1
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