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Simplifying 6(w + 8) = 5w + 37 Reorder the terms: 6(8 + w) = 5w + 37 (8 * 6 + w * 6) = 5w + 37 (48 + 6w) = 5w + 37 Reorder the terms: 48 + 6w = 37 + 5w Solving 48 + 6w = 37 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. 48 + 6w + -5w = 37 + 5w + -5w Combine like terms: 6w + -5w = 1w 48 + 1w = 37 + 5w + -5w Combine like terms: 5w + -5w = 0 48 + 1w = 37 + 0 48 + 1w = 37 Add '-48' to each side of the equation. 48 + -48 + 1w = 37 + -48 Combine like terms: 48 + -48 = 0 0 + 1w = 37 + -48 1w = 37 + -48 Combine like terms: 37 + -48 = -11 1w = -11 Divide each side by '1'. w = -11 Simplifying w = -11
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