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Simplifying 5w + -1(2w + 7) = 18 Reorder the terms: 5w + -1(7 + 2w) = 18 5w + (7 * -1 + 2w * -1) = 18 5w + (-7 + -2w) = 18 Reorder the terms: -7 + 5w + -2w = 18 Combine like terms: 5w + -2w = 3w -7 + 3w = 18 Solving -7 + 3w = 18 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 + 3w = 18 + 7 Combine like terms: -7 + 7 = 0 0 + 3w = 18 + 7 3w = 18 + 7 Combine like terms: 18 + 7 = 25 3w = 25 Divide each side by '3'. w = 8.333333333 Simplifying w = 8.333333333
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