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Simplifying 5(w + 6) = 8 + 3w Reorder the terms: 5(6 + w) = 8 + 3w (6 * 5 + w * 5) = 8 + 3w (30 + 5w) = 8 + 3w Solving 30 + 5w = 8 + 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. 30 + 5w + -3w = 8 + 3w + -3w Combine like terms: 5w + -3w = 2w 30 + 2w = 8 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + 2w = 8 + 0 30 + 2w = 8 Add '-30' to each side of the equation. 30 + -30 + 2w = 8 + -30 Combine like terms: 30 + -30 = 0 0 + 2w = 8 + -30 2w = 8 + -30 Combine like terms: 8 + -30 = -22 2w = -22 Divide each side by '2'. w = -11 Simplifying w = -11
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