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Simplifying 3w + -4 = 2(w + 8) Reorder the terms: -4 + 3w = 2(w + 8) Reorder the terms: -4 + 3w = 2(8 + w) -4 + 3w = (8 * 2 + w * 2) -4 + 3w = (16 + 2w) Solving -4 + 3w = 16 + 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. -4 + 3w + -2w = 16 + 2w + -2w Combine like terms: 3w + -2w = 1w -4 + 1w = 16 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + 1w = 16 + 0 -4 + 1w = 16 Add '4' to each side of the equation. -4 + 4 + 1w = 16 + 4 Combine like terms: -4 + 4 = 0 0 + 1w = 16 + 4 1w = 16 + 4 Combine like terms: 16 + 4 = 20 1w = 20 Divide each side by '1'. w = 20 Simplifying w = 20
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