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Simplifying 3(w + -4) = 2(4 + w) Reorder the terms: 3(-4 + w) = 2(4 + w) (-4 * 3 + w * 3) = 2(4 + w) (-12 + 3w) = 2(4 + w) -12 + 3w = (4 * 2 + w * 2) -12 + 3w = (8 + 2w) Solving -12 + 3w = 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 + 3w + -2w = 8 + 2w + -2w Combine like terms: 3w + -2w = 1w -12 + 1w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + 1w = 8 + 0 -12 + 1w = 8 Add '12' to each side of the equation. -12 + 12 + 1w = 8 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 8 + 12 1w = 8 + 12 Combine like terms: 8 + 12 = 20 1w = 20 Divide each side by '1'. w = 20 Simplifying w = 20
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