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Simplifying -2(3w + -6) + 8w = -4(w + 1) Reorder the terms: -2(-6 + 3w) + 8w = -4(w + 1) (-6 * -2 + 3w * -2) + 8w = -4(w + 1) (12 + -6w) + 8w = -4(w + 1) Combine like terms: -6w + 8w = 2w 12 + 2w = -4(w + 1) Reorder the terms: 12 + 2w = -4(1 + w) 12 + 2w = (1 * -4 + w * -4) 12 + 2w = (-4 + -4w) Solving 12 + 2w = -4 + -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. 12 + 2w + 4w = -4 + -4w + 4w Combine like terms: 2w + 4w = 6w 12 + 6w = -4 + -4w + 4w Combine like terms: -4w + 4w = 0 12 + 6w = -4 + 0 12 + 6w = -4 Add '-12' to each side of the equation. 12 + -12 + 6w = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = -4 + -12 6w = -4 + -12 Combine like terms: -4 + -12 = -16 6w = -16 Divide each side by '6'. w = -2.666666667 Simplifying w = -2.666666667
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