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Simplifying -7w + 2(w + -6) = 38 Reorder the terms: -7w + 2(-6 + w) = 38 -7w + (-6 * 2 + w * 2) = 38 -7w + (-12 + 2w) = 38 Reorder the terms: -12 + -7w + 2w = 38 Combine like terms: -7w + 2w = -5w -12 + -5w = 38 Solving -12 + -5w = 38 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 = 38 + 12 Combine like terms: -12 + 12 = 0 0 + -5w = 38 + 12 -5w = 38 + 12 Combine like terms: 38 + 12 = 50 -5w = 50 Divide each side by '-5'. w = -10 Simplifying w = -10
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