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Simplifying -5w + 8(w + 6) = 39 Reorder the terms: -5w + 8(6 + w) = 39 -5w + (6 * 8 + w * 8) = 39 -5w + (48 + 8w) = 39 Reorder the terms: 48 + -5w + 8w = 39 Combine like terms: -5w + 8w = 3w 48 + 3w = 39 Solving 48 + 3w = 39 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 3w = 39 + -48 Combine like terms: 48 + -48 = 0 0 + 3w = 39 + -48 3w = 39 + -48 Combine like terms: 39 + -48 = -9 3w = -9 Divide each side by '3'. w = -3 Simplifying w = -3
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