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Simplifying 4(q + -9) + -5(9q + 2) = 0 Reorder the terms: 4(-9 + q) + -5(9q + 2) = 0 (-9 * 4 + q * 4) + -5(9q + 2) = 0 (-36 + 4q) + -5(9q + 2) = 0 Reorder the terms: -36 + 4q + -5(2 + 9q) = 0 -36 + 4q + (2 * -5 + 9q * -5) = 0 -36 + 4q + (-10 + -45q) = 0 Reorder the terms: -36 + -10 + 4q + -45q = 0 Combine like terms: -36 + -10 = -46 -46 + 4q + -45q = 0 Combine like terms: 4q + -45q = -41q -46 + -41q = 0 Solving -46 + -41q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -41q = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -41q = 0 + 46 -41q = 0 + 46 Combine like terms: 0 + 46 = 46 -41q = 46 Divide each side by '-41'. q = -1.12195122 Simplifying q = -1.12195122
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