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Simplifying 9w + 14 = -6(12 + w) + 38 Reorder the terms: 14 + 9w = -6(12 + w) + 38 14 + 9w = (12 * -6 + w * -6) + 38 14 + 9w = (-72 + -6w) + 38 Reorder the terms: 14 + 9w = -72 + 38 + -6w Combine like terms: -72 + 38 = -34 14 + 9w = -34 + -6w Solving 14 + 9w = -34 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 14 + 9w + 6w = -34 + -6w + 6w Combine like terms: 9w + 6w = 15w 14 + 15w = -34 + -6w + 6w Combine like terms: -6w + 6w = 0 14 + 15w = -34 + 0 14 + 15w = -34 Add '-14' to each side of the equation. 14 + -14 + 15w = -34 + -14 Combine like terms: 14 + -14 = 0 0 + 15w = -34 + -14 15w = -34 + -14 Combine like terms: -34 + -14 = -48 15w = -48 Divide each side by '15'. w = -3.2 Simplifying w = -3.2
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