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Simplifying 6 + -2(2w + 1) = 12w + -2(12 + w) Reorder the terms: 6 + -2(1 + 2w) = 12w + -2(12 + w) 6 + (1 * -2 + 2w * -2) = 12w + -2(12 + w) 6 + (-2 + -4w) = 12w + -2(12 + w) Combine like terms: 6 + -2 = 4 4 + -4w = 12w + -2(12 + w) 4 + -4w = 12w + (12 * -2 + w * -2) 4 + -4w = 12w + (-24 + -2w) Reorder the terms: 4 + -4w = -24 + 12w + -2w Combine like terms: 12w + -2w = 10w 4 + -4w = -24 + 10w Solving 4 + -4w = -24 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. 4 + -4w + -10w = -24 + 10w + -10w Combine like terms: -4w + -10w = -14w 4 + -14w = -24 + 10w + -10w Combine like terms: 10w + -10w = 0 4 + -14w = -24 + 0 4 + -14w = -24 Add '-4' to each side of the equation. 4 + -4 + -14w = -24 + -4 Combine like terms: 4 + -4 = 0 0 + -14w = -24 + -4 -14w = -24 + -4 Combine like terms: -24 + -4 = -28 -14w = -28 Divide each side by '-14'. w = 2 Simplifying w = 2
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