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Simplifying 2q + -1[1 + -6(6q + -9)] = 0 Reorder the terms: 2q + -1[1 + -6(-9 + 6q)] = 0 2q + -1[1 + (-9 * -6 + 6q * -6)] = 0 2q + -1[1 + (54 + -36q)] = 0 Combine like terms: 1 + 54 = 55 2q + -1[55 + -36q] = 0 2q + [55 * -1 + -36q * -1] = 0 2q + [-55 + 36q] = 0 Reorder the terms: -55 + 2q + 36q = 0 Combine like terms: 2q + 36q = 38q -55 + 38q = 0 Solving -55 + 38q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + 38q = 0 + 55 Combine like terms: -55 + 55 = 0 0 + 38q = 0 + 55 38q = 0 + 55 Combine like terms: 0 + 55 = 55 38q = 55 Divide each side by '38'. q = 1.447368421 Simplifying q = 1.447368421
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