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Simplifying 7[9 + -7(8 + -1a)] + -9 = 9[7(9q + -8) + 6] + -82 7[9 + (8 * -7 + -1a * -7)] + -9 = 9[7(9q + -8) + 6] + -82 7[9 + (-56 + 7a)] + -9 = 9[7(9q + -8) + 6] + -82 Combine like terms: 9 + -56 = -47 7[-47 + 7a] + -9 = 9[7(9q + -8) + 6] + -82 [-47 * 7 + 7a * 7] + -9 = 9[7(9q + -8) + 6] + -82 [-329 + 49a] + -9 = 9[7(9q + -8) + 6] + -82 Reorder the terms: -329 + -9 + 49a = 9[7(9q + -8) + 6] + -82 Combine like terms: -329 + -9 = -338 -338 + 49a = 9[7(9q + -8) + 6] + -82 Reorder the terms: -338 + 49a = 9[7(-8 + 9q) + 6] + -82 -338 + 49a = 9[(-8 * 7 + 9q * 7) + 6] + -82 -338 + 49a = 9[(-56 + 63q) + 6] + -82 Reorder the terms: -338 + 49a = 9[-56 + 6 + 63q] + -82 Combine like terms: -56 + 6 = -50 -338 + 49a = 9[-50 + 63q] + -82 -338 + 49a = [-50 * 9 + 63q * 9] + -82 -338 + 49a = [-450 + 567q] + -82 Reorder the terms: -338 + 49a = -450 + -82 + 567q Combine like terms: -450 + -82 = -532 -338 + 49a = -532 + 567q Solving -338 + 49a = -532 + 567q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '338' to each side of the equation. -338 + 338 + 49a = -532 + 338 + 567q Combine like terms: -338 + 338 = 0 0 + 49a = -532 + 338 + 567q 49a = -532 + 338 + 567q Combine like terms: -532 + 338 = -194 49a = -194 + 567q Divide each side by '49'. a = -3.959183673 + 11.57142857q Simplifying a = -3.959183673 + 11.57142857q
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