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Simplifying (w + 3) + -8(w + -1) = 18 Reorder the terms: (3 + w) + -8(w + -1) = 18 Remove parenthesis around (3 + w) 3 + w + -8(w + -1) = 18 Reorder the terms: 3 + w + -8(-1 + w) = 18 3 + w + (-1 * -8 + w * -8) = 18 3 + w + (8 + -8w) = 18 Reorder the terms: 3 + 8 + w + -8w = 18 Combine like terms: 3 + 8 = 11 11 + w + -8w = 18 Combine like terms: w + -8w = -7w 11 + -7w = 18 Solving 11 + -7w = 18 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -7w = 18 + -11 Combine like terms: 11 + -11 = 0 0 + -7w = 18 + -11 -7w = 18 + -11 Combine like terms: 18 + -11 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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