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Simplifying 3(w + -13) + 2(w + -7) = 7 Reorder the terms: 3(-13 + w) + 2(w + -7) = 7 (-13 * 3 + w * 3) + 2(w + -7) = 7 (-39 + 3w) + 2(w + -7) = 7 Reorder the terms: -39 + 3w + 2(-7 + w) = 7 -39 + 3w + (-7 * 2 + w * 2) = 7 -39 + 3w + (-14 + 2w) = 7 Reorder the terms: -39 + -14 + 3w + 2w = 7 Combine like terms: -39 + -14 = -53 -53 + 3w + 2w = 7 Combine like terms: 3w + 2w = 5w -53 + 5w = 7 Solving -53 + 5w = 7 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5w = 7 + 53 Combine like terms: -53 + 53 = 0 0 + 5w = 7 + 53 5w = 7 + 53 Combine like terms: 7 + 53 = 60 5w = 60 Divide each side by '5'. w = 12 Simplifying w = 12
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