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Simplifying 3(w + -5) = 8w + -10 Reorder the terms: 3(-5 + w) = 8w + -10 (-5 * 3 + w * 3) = 8w + -10 (-15 + 3w) = 8w + -10 Reorder the terms: -15 + 3w = -10 + 8w Solving -15 + 3w = -10 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. -15 + 3w + -8w = -10 + 8w + -8w Combine like terms: 3w + -8w = -5w -15 + -5w = -10 + 8w + -8w Combine like terms: 8w + -8w = 0 -15 + -5w = -10 + 0 -15 + -5w = -10 Add '15' to each side of the equation. -15 + 15 + -5w = -10 + 15 Combine like terms: -15 + 15 = 0 0 + -5w = -10 + 15 -5w = -10 + 15 Combine like terms: -10 + 15 = 5 -5w = 5 Divide each side by '-5'. w = -1 Simplifying w = -1
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