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Simplifying 37 = 46 + -3(3 + -5w) 37 = 46 + (3 * -3 + -5w * -3) 37 = 46 + (-9 + 15w) Combine like terms: 46 + -9 = 37 37 = 37 + 15w Add '-37' to each side of the equation. 37 + -37 = 37 + -37 + 15w Combine like terms: 37 + -37 = 0 0 = 37 + -37 + 15w Combine like terms: 37 + -37 = 0 0 = 0 + 15w 0 = 15w Solving 0 = 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. 0 + -15w = 15w + -15w Remove the zero: -15w = 15w + -15w Combine like terms: 15w + -15w = 0 -15w = 0 Divide each side by '-15'. w = 0 Simplifying w = 0
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