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