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Simplifying -5w + 3(w + -1) = -9 Reorder the terms: -5w + 3(-1 + w) = -9 -5w + (-1 * 3 + w * 3) = -9 -5w + (-3 + 3w) = -9 Reorder the terms: -3 + -5w + 3w = -9 Combine like terms: -5w + 3w = -2w -3 + -2w = -9 Solving -3 + -2w = -9 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2w = -9 + 3 Combine like terms: -3 + 3 = 0 0 + -2w = -9 + 3 -2w = -9 + 3 Combine like terms: -9 + 3 = -6 -2w = -6 Divide each side by '-2'. w = 3 Simplifying w = 3
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