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Simplifying 6w + 2 + -2(-2w + -1) = 2(w + -4) Reorder the terms: 6w + 2 + -2(-1 + -2w) = 2(w + -4) 6w + 2 + (-1 * -2 + -2w * -2) = 2(w + -4) 6w + 2 + (2 + 4w) = 2(w + -4) Reorder the terms: 2 + 2 + 6w + 4w = 2(w + -4) Combine like terms: 2 + 2 = 4 4 + 6w + 4w = 2(w + -4) Combine like terms: 6w + 4w = 10w 4 + 10w = 2(w + -4) Reorder the terms: 4 + 10w = 2(-4 + w) 4 + 10w = (-4 * 2 + w * 2) 4 + 10w = (-8 + 2w) Solving 4 + 10w = -8 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 4 + 10w + -2w = -8 + 2w + -2w Combine like terms: 10w + -2w = 8w 4 + 8w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 4 + 8w = -8 + 0 4 + 8w = -8 Add '-4' to each side of the equation. 4 + -4 + 8w = -8 + -4 Combine like terms: 4 + -4 = 0 0 + 8w = -8 + -4 8w = -8 + -4 Combine like terms: -8 + -4 = -12 8w = -12 Divide each side by '8'. w = -1.5 Simplifying w = -1.5
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