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Simplifying -1w + 8 + -1(w + -4) = 3w + -4(w + -8) Reorder the terms: -1w + 8 + -1(-4 + w) = 3w + -4(w + -8) -1w + 8 + (-4 * -1 + w * -1) = 3w + -4(w + -8) -1w + 8 + (4 + -1w) = 3w + -4(w + -8) Reorder the terms: 8 + 4 + -1w + -1w = 3w + -4(w + -8) Combine like terms: 8 + 4 = 12 12 + -1w + -1w = 3w + -4(w + -8) Combine like terms: -1w + -1w = -2w 12 + -2w = 3w + -4(w + -8) Reorder the terms: 12 + -2w = 3w + -4(-8 + w) 12 + -2w = 3w + (-8 * -4 + w * -4) 12 + -2w = 3w + (32 + -4w) Reorder the terms: 12 + -2w = 32 + 3w + -4w Combine like terms: 3w + -4w = -1w 12 + -2w = 32 + -1w Solving 12 + -2w = 32 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 12 + -2w + w = 32 + -1w + w Combine like terms: -2w + w = -1w 12 + -1w = 32 + -1w + w Combine like terms: -1w + w = 0 12 + -1w = 32 + 0 12 + -1w = 32 Add '-12' to each side of the equation. 12 + -12 + -1w = 32 + -12 Combine like terms: 12 + -12 = 0 0 + -1w = 32 + -12 -1w = 32 + -12 Combine like terms: 32 + -12 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20
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