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Simplifying -6(6q + 9) + 2(q + -9) = 0 Reorder the terms: -6(9 + 6q) + 2(q + -9) = 0 (9 * -6 + 6q * -6) + 2(q + -9) = 0 (-54 + -36q) + 2(q + -9) = 0 Reorder the terms: -54 + -36q + 2(-9 + q) = 0 -54 + -36q + (-9 * 2 + q * 2) = 0 -54 + -36q + (-18 + 2q) = 0 Reorder the terms: -54 + -18 + -36q + 2q = 0 Combine like terms: -54 + -18 = -72 -72 + -36q + 2q = 0 Combine like terms: -36q + 2q = -34q -72 + -34q = 0 Solving -72 + -34q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -34q = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -34q = 0 + 72 -34q = 0 + 72 Combine like terms: 0 + 72 = 72 -34q = 72 Divide each side by '-34'. q = -2.117647059 Simplifying q = -2.117647059
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