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Simplifying -9 = 2(w + -2) + -7w Reorder the terms: -9 = 2(-2 + w) + -7w -9 = (-2 * 2 + w * 2) + -7w -9 = (-4 + 2w) + -7w Combine like terms: 2w + -7w = -5w -9 = -4 + -5w Solving -9 = -4 + -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. -9 + 5w = -4 + -5w + 5w Combine like terms: -5w + 5w = 0 -9 + 5w = -4 + 0 -9 + 5w = -4 Add '9' to each side of the equation. -9 + 9 + 5w = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 5w = -4 + 9 5w = -4 + 9 Combine like terms: -4 + 9 = 5 5w = 5 Divide each side by '5'. w = 1 Simplifying w = 1
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