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Simplifying 8 + 4(3w + -1) = -4(2w + -2) + 4w Reorder the terms: 8 + 4(-1 + 3w) = -4(2w + -2) + 4w 8 + (-1 * 4 + 3w * 4) = -4(2w + -2) + 4w 8 + (-4 + 12w) = -4(2w + -2) + 4w Combine like terms: 8 + -4 = 4 4 + 12w = -4(2w + -2) + 4w Reorder the terms: 4 + 12w = -4(-2 + 2w) + 4w 4 + 12w = (-2 * -4 + 2w * -4) + 4w 4 + 12w = (8 + -8w) + 4w Combine like terms: -8w + 4w = -4w 4 + 12w = 8 + -4w Solving 4 + 12w = 8 + -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. 4 + 12w + 4w = 8 + -4w + 4w Combine like terms: 12w + 4w = 16w 4 + 16w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 4 + 16w = 8 + 0 4 + 16w = 8 Add '-4' to each side of the equation. 4 + -4 + 16w = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 16w = 8 + -4 16w = 8 + -4 Combine like terms: 8 + -4 = 4 16w = 4 Divide each side by '16'. w = 0.25 Simplifying w = 0.25
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