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Simplifying 3(w + -5) = -2w + -5 Reorder the terms: 3(-5 + w) = -2w + -5 (-5 * 3 + w * 3) = -2w + -5 (-15 + 3w) = -2w + -5 Reorder the terms: -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 = 5w -15 + 5w = -5 + -2w + 2w Combine like terms: -2w + 2w = 0 -15 + 5w = -5 + 0 -15 + 5w = -5 Add '15' to each side of the equation. -15 + 15 + 5w = -5 + 15 Combine like terms: -15 + 15 = 0 0 + 5w = -5 + 15 5w = -5 + 15 Combine like terms: -5 + 15 = 10 5w = 10 Divide each side by '5'. w = 2 Simplifying w = 2
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