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Simplifying -7w + 2(w + -2) = 31 Reorder the terms: -7w + 2(-2 + w) = 31 -7w + (-2 * 2 + w * 2) = 31 -7w + (-4 + 2w) = 31 Reorder the terms: -4 + -7w + 2w = 31 Combine like terms: -7w + 2w = -5w -4 + -5w = 31 Solving -4 + -5w = 31 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5w = 31 + 4 Combine like terms: -4 + 4 = 0 0 + -5w = 31 + 4 -5w = 31 + 4 Combine like terms: 31 + 4 = 35 -5w = 35 Divide each side by '-5'. w = -7 Simplifying w = -7
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