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