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Simplifying 4(w + 1) = -2(8w + -8) + 4w Reorder the terms: 4(1 + w) = -2(8w + -8) + 4w (1 * 4 + w * 4) = -2(8w + -8) + 4w (4 + 4w) = -2(8w + -8) + 4w Reorder the terms: 4 + 4w = -2(-8 + 8w) + 4w 4 + 4w = (-8 * -2 + 8w * -2) + 4w 4 + 4w = (16 + -16w) + 4w Combine like terms: -16w + 4w = -12w 4 + 4w = 16 + -12w Solving 4 + 4w = 16 + -12w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12w' to each side of the equation. 4 + 4w + 12w = 16 + -12w + 12w Combine like terms: 4w + 12w = 16w 4 + 16w = 16 + -12w + 12w Combine like terms: -12w + 12w = 0 4 + 16w = 16 + 0 4 + 16w = 16 Add '-4' to each side of the equation. 4 + -4 + 16w = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 16w = 16 + -4 16w = 16 + -4 Combine like terms: 16 + -4 = 12 16w = 12 Divide each side by '16'. w = 0.75 Simplifying w = 0.75
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