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Simplifying 2(w + -4) = 20 + -2w + -12 Reorder the terms: 2(-4 + w) = 20 + -2w + -12 (-4 * 2 + w * 2) = 20 + -2w + -12 (-8 + 2w) = 20 + -2w + -12 Reorder the terms: -8 + 2w = 20 + -12 + -2w Combine like terms: 20 + -12 = 8 -8 + 2w = 8 + -2w Solving -8 + 2w = 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. -8 + 2w + 2w = 8 + -2w + 2w Combine like terms: 2w + 2w = 4w -8 + 4w = 8 + -2w + 2w Combine like terms: -2w + 2w = 0 -8 + 4w = 8 + 0 -8 + 4w = 8 Add '8' to each side of the equation. -8 + 8 + 4w = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4w = 8 + 8 4w = 8 + 8 Combine like terms: 8 + 8 = 16 4w = 16 Divide each side by '4'. w = 4 Simplifying w = 4
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