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Simplifying 7[9 + -7(8 + -1q)] = -9[7(9q + -8) + 6] 7[9 + (8 * -7 + -1q * -7)] = -9[7(9q + -8) + 6] 7[9 + (-56 + 7q)] = -9[7(9q + -8) + 6] Combine like terms: 9 + -56 = -47 7[-47 + 7q] = -9[7(9q + -8) + 6] [-47 * 7 + 7q * 7] = -9[7(9q + -8) + 6] [-329 + 49q] = -9[7(9q + -8) + 6] Reorder the terms: -329 + 49q = -9[7(-8 + 9q) + 6] -329 + 49q = -9[(-8 * 7 + 9q * 7) + 6] -329 + 49q = -9[(-56 + 63q) + 6] Reorder the terms: -329 + 49q = -9[-56 + 6 + 63q] Combine like terms: -56 + 6 = -50 -329 + 49q = -9[-50 + 63q] -329 + 49q = [-50 * -9 + 63q * -9] -329 + 49q = [450 + -567q] Solving -329 + 49q = 450 + -567q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '567q' to each side of the equation. -329 + 49q + 567q = 450 + -567q + 567q Combine like terms: 49q + 567q = 616q -329 + 616q = 450 + -567q + 567q Combine like terms: -567q + 567q = 0 -329 + 616q = 450 + 0 -329 + 616q = 450 Add '329' to each side of the equation. -329 + 329 + 616q = 450 + 329 Combine like terms: -329 + 329 = 0 0 + 616q = 450 + 329 616q = 450 + 329 Combine like terms: 450 + 329 = 779 616q = 779 Divide each side by '616'. q = 1.26461039 Simplifying q = 1.26461039
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