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Simplifying 9w + 14 = -8(12 + w) + 38 Reorder the terms: 14 + 9w = -8(12 + w) + 38 14 + 9w = (12 * -8 + w * -8) + 38 14 + 9w = (-96 + -8w) + 38 Reorder the terms: 14 + 9w = -96 + 38 + -8w Combine like terms: -96 + 38 = -58 14 + 9w = -58 + -8w Solving 14 + 9w = -58 + -8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '8w' to each side of the equation. 14 + 9w + 8w = -58 + -8w + 8w Combine like terms: 9w + 8w = 17w 14 + 17w = -58 + -8w + 8w Combine like terms: -8w + 8w = 0 14 + 17w = -58 + 0 14 + 17w = -58 Add '-14' to each side of the equation. 14 + -14 + 17w = -58 + -14 Combine like terms: 14 + -14 = 0 0 + 17w = -58 + -14 17w = -58 + -14 Combine like terms: -58 + -14 = -72 17w = -72 Divide each side by '17'. w = -4.235294118 Simplifying w = -4.235294118
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