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Simplifying 9(7q + -7) + 9(5q + -9) = 0 Reorder the terms: 9(-7 + 7q) + 9(5q + -9) = 0 (-7 * 9 + 7q * 9) + 9(5q + -9) = 0 (-63 + 63q) + 9(5q + -9) = 0 Reorder the terms: -63 + 63q + 9(-9 + 5q) = 0 -63 + 63q + (-9 * 9 + 5q * 9) = 0 -63 + 63q + (-81 + 45q) = 0 Reorder the terms: -63 + -81 + 63q + 45q = 0 Combine like terms: -63 + -81 = -144 -144 + 63q + 45q = 0 Combine like terms: 63q + 45q = 108q -144 + 108q = 0 Solving -144 + 108q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '144' to each side of the equation. -144 + 144 + 108q = 0 + 144 Combine like terms: -144 + 144 = 0 0 + 108q = 0 + 144 108q = 0 + 144 Combine like terms: 0 + 144 = 144 108q = 144 Divide each side by '108'. q = 1.333333333 Simplifying q = 1.333333333
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