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Simplifying 3(w + -4) = w + 8 Reorder the terms: 3(-4 + w) = w + 8 (-4 * 3 + w * 3) = w + 8 (-12 + 3w) = w + 8 Reorder the terms: -12 + 3w = 8 + w Solving -12 + 3w = 8 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + 3w + -1w = 8 + w + -1w Combine like terms: 3w + -1w = 2w -12 + 2w = 8 + w + -1w Combine like terms: w + -1w = 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 = 20 2w = 20 Divide each side by '2'. w = 10 Simplifying w = 10
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