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Simplifying 9q + -1[6 + -4(6q + -9)] = 0 Reorder the terms: 9q + -1[6 + -4(-9 + 6q)] = 0 9q + -1[6 + (-9 * -4 + 6q * -4)] = 0 9q + -1[6 + (36 + -24q)] = 0 Combine like terms: 6 + 36 = 42 9q + -1[42 + -24q] = 0 9q + [42 * -1 + -24q * -1] = 0 9q + [-42 + 24q] = 0 Reorder the terms: -42 + 9q + 24q = 0 Combine like terms: 9q + 24q = 33q -42 + 33q = 0 Solving -42 + 33q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 33q = 0 + 42 Combine like terms: -42 + 42 = 0 0 + 33q = 0 + 42 33q = 0 + 42 Combine like terms: 0 + 42 = 42 33q = 42 Divide each side by '33'. q = 1.272727273 Simplifying q = 1.272727273
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