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Simplifying 3(w + 2) + -1(-5) = 8 Reorder the terms: 3(2 + w) + -1(-5) = 8 (2 * 3 + w * 3) + -1(-5) = 8 (6 + 3w) + -1(-5) = 8 Multiply -1 * -5 6 + 3w + 5 = 8 Reorder the terms: 6 + 5 + 3w = 8 Combine like terms: 6 + 5 = 11 11 + 3w = 8 Solving 11 + 3w = 8 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 + 3w = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 3w = 8 + -11 3w = 8 + -11 Combine like terms: 8 + -11 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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