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Simplifying -5 = -7w + 2(w + -5) Reorder the terms: -5 = -7w + 2(-5 + w) -5 = -7w + (-5 * 2 + w * 2) -5 = -7w + (-10 + 2w) Reorder the terms: -5 = -10 + -7w + 2w Combine like terms: -7w + 2w = -5w -5 = -10 + -5w Solving -5 = -10 + -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. -5 + 5w = -10 + -5w + 5w Combine like terms: -5w + 5w = 0 -5 + 5w = -10 + 0 -5 + 5w = -10 Add '5' to each side of the equation. -5 + 5 + 5w = -10 + 5 Combine like terms: -5 + 5 = 0 0 + 5w = -10 + 5 5w = -10 + 5 Combine like terms: -10 + 5 = -5 5w = -5 Divide each side by '5'. w = -1 Simplifying w = -1
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