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