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Simplifying 2(7 + -1g) = 9q + 14 + -11g (7 * 2 + -1g * 2) = 9q + 14 + -11g (14 + -2g) = 9q + 14 + -11g Reorder the terms: 14 + -2g = 14 + -11g + 9q Add '-14' to each side of the equation. 14 + -14 + -2g = 14 + -11g + -14 + 9q Combine like terms: 14 + -14 = 0 0 + -2g = 14 + -11g + -14 + 9q -2g = 14 + -11g + -14 + 9q Reorder the terms: -2g = 14 + -14 + -11g + 9q Combine like terms: 14 + -14 = 0 -2g = 0 + -11g + 9q -2g = -11g + 9q Solving -2g = -11g + 9q Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '11g' to each side of the equation. -2g + 11g = -11g + 11g + 9q Combine like terms: -2g + 11g = 9g 9g = -11g + 11g + 9q Combine like terms: -11g + 11g = 0 9g = 0 + 9q 9g = 9q Divide each side by '9'. g = q Simplifying g = q
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