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Simplifying -3(w + 5 + -10) = 2w + 5 Reorder the terms: -3(5 + -10 + w) = 2w + 5 Combine like terms: 5 + -10 = -5 -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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