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Simplifying 3w + -1(7 + -1w) = 13 3w + (7 * -1 + -1w * -1) = 13 3w + (-7 + 1w) = 13 Reorder the terms: -7 + 3w + 1w = 13 Combine like terms: 3w + 1w = 4w -7 + 4w = 13 Solving -7 + 4w = 13 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4w = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 4w = 13 + 7 4w = 13 + 7 Combine like terms: 13 + 7 = 20 4w = 20 Divide each side by '4'. w = 5 Simplifying w = 5
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