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Simplifying 8 + -1w = -2(2w + -1) Reorder the terms: 8 + -1w = -2(-1 + 2w) 8 + -1w = (-1 * -2 + 2w * -2) 8 + -1w = (2 + -4w) Solving 8 + -1w = 2 + -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. 8 + -1w + 4w = 2 + -4w + 4w Combine like terms: -1w + 4w = 3w 8 + 3w = 2 + -4w + 4w Combine like terms: -4w + 4w = 0 8 + 3w = 2 + 0 8 + 3w = 2 Add '-8' to each side of the equation. 8 + -8 + 3w = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3w = 2 + -8 3w = 2 + -8 Combine like terms: 2 + -8 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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