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Simplifying 3(w + -5) = 5 + 2w Reorder the terms: 3(-5 + w) = 5 + 2w (-5 * 3 + w * 3) = 5 + 2w (-15 + 3w) = 5 + 2w Solving -15 + 3w = 5 + 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. -15 + 3w + -2w = 5 + 2w + -2w Combine like terms: 3w + -2w = 1w -15 + 1w = 5 + 2w + -2w Combine like terms: 2w + -2w = 0 -15 + 1w = 5 + 0 -15 + 1w = 5 Add '15' to each side of the equation. -15 + 15 + 1w = 5 + 15 Combine like terms: -15 + 15 = 0 0 + 1w = 5 + 15 1w = 5 + 15 Combine like terms: 5 + 15 = 20 1w = 20 Divide each side by '1'. w = 20 Simplifying w = 20
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