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Simplifying 6 + -2(2w + -1) = 6w + -2(6w + 2) Reorder the terms: 6 + -2(-1 + 2w) = 6w + -2(6w + 2) 6 + (-1 * -2 + 2w * -2) = 6w + -2(6w + 2) 6 + (2 + -4w) = 6w + -2(6w + 2) Combine like terms: 6 + 2 = 8 8 + -4w = 6w + -2(6w + 2) Reorder the terms: 8 + -4w = 6w + -2(2 + 6w) 8 + -4w = 6w + (2 * -2 + 6w * -2) 8 + -4w = 6w + (-4 + -12w) Reorder the terms: 8 + -4w = -4 + 6w + -12w Combine like terms: 6w + -12w = -6w 8 + -4w = -4 + -6w Solving 8 + -4w = -4 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 8 + -4w + 6w = -4 + -6w + 6w Combine like terms: -4w + 6w = 2w 8 + 2w = -4 + -6w + 6w Combine like terms: -6w + 6w = 0 8 + 2w = -4 + 0 8 + 2w = -4 Add '-8' to each side of the equation. 8 + -8 + 2w = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 2w = -4 + -8 2w = -4 + -8 Combine like terms: -4 + -8 = -12 2w = -12 Divide each side by '2'. w = -6 Simplifying w = -6
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