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Simplifying 20 + 2(w + -4) = 3(w + 4) Reorder the terms: 20 + 2(-4 + w) = 3(w + 4) 20 + (-4 * 2 + w * 2) = 3(w + 4) 20 + (-8 + 2w) = 3(w + 4) Combine like terms: 20 + -8 = 12 12 + 2w = 3(w + 4) Reorder the terms: 12 + 2w = 3(4 + w) 12 + 2w = (4 * 3 + w * 3) 12 + 2w = (12 + 3w) Add '-12' to each side of the equation. 12 + -12 + 2w = 12 + -12 + 3w Combine like terms: 12 + -12 = 0 0 + 2w = 12 + -12 + 3w 2w = 12 + -12 + 3w Combine like terms: 12 + -12 = 0 2w = 0 + 3w 2w = 3w Solving 2w = 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 2w + -3w = 3w + -3w Combine like terms: 2w + -3w = -1w -1w = 3w + -3w Combine like terms: 3w + -3w = 0 -1w = 0 Divide each side by '-1'. w = 0 Simplifying w = 0
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