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