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