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Simplifying 6(w + 6) = 5w + -2 Reorder the terms: 6(6 + w) = 5w + -2 (6 * 6 + w * 6) = 5w + -2 (36 + 6w) = 5w + -2 Reorder the terms: 36 + 6w = -2 + 5w Solving 36 + 6w = -2 + 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. 36 + 6w + -5w = -2 + 5w + -5w Combine like terms: 6w + -5w = 1w 36 + 1w = -2 + 5w + -5w Combine like terms: 5w + -5w = 0 36 + 1w = -2 + 0 36 + 1w = -2 Add '-36' to each side of the equation. 36 + -36 + 1w = -2 + -36 Combine like terms: 36 + -36 = 0 0 + 1w = -2 + -36 1w = -2 + -36 Combine like terms: -2 + -36 = -38 1w = -38 Divide each side by '1'. w = -38 Simplifying w = -38
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