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Simplifying 6(w + 6) = 57 + 3w Reorder the terms: 6(6 + w) = 57 + 3w (6 * 6 + w * 6) = 57 + 3w (36 + 6w) = 57 + 3w Solving 36 + 6w = 57 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 36 + 6w + -3w = 57 + 3w + -3w Combine like terms: 6w + -3w = 3w 36 + 3w = 57 + 3w + -3w Combine like terms: 3w + -3w = 0 36 + 3w = 57 + 0 36 + 3w = 57 Add '-36' to each side of the equation. 36 + -36 + 3w = 57 + -36 Combine like terms: 36 + -36 = 0 0 + 3w = 57 + -36 3w = 57 + -36 Combine like terms: 57 + -36 = 21 3w = 21 Divide each side by '3'. w = 7 Simplifying w = 7
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