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Simplifying -7w + 2(w + -6) = -2 Reorder the terms: -7w + 2(-6 + w) = -2 -7w + (-6 * 2 + w * 2) = -2 -7w + (-12 + 2w) = -2 Reorder the terms: -12 + -7w + 2w = -2 Combine like terms: -7w + 2w = -5w -12 + -5w = -2 Solving -12 + -5w = -2 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5w = -2 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = -2 + 12 -5w = -2 + 12 Combine like terms: -2 + 12 = 10 -5w = 10 Divide each side by '-5'. w = -2 Simplifying w = -2
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