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Simplifying 8w + 37 = 3(w + 9) Reorder the terms: 37 + 8w = 3(w + 9) Reorder the terms: 37 + 8w = 3(9 + w) 37 + 8w = (9 * 3 + w * 3) 37 + 8w = (27 + 3w) Solving 37 + 8w = 27 + 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. 37 + 8w + -3w = 27 + 3w + -3w Combine like terms: 8w + -3w = 5w 37 + 5w = 27 + 3w + -3w Combine like terms: 3w + -3w = 0 37 + 5w = 27 + 0 37 + 5w = 27 Add '-37' to each side of the equation. 37 + -37 + 5w = 27 + -37 Combine like terms: 37 + -37 = 0 0 + 5w = 27 + -37 5w = 27 + -37 Combine like terms: 27 + -37 = -10 5w = -10 Divide each side by '5'. w = -2 Simplifying w = -2
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