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Simplifying 15(q + -8) + -7(7q + 9) = 0 Reorder the terms: 15(-8 + q) + -7(7q + 9) = 0 (-8 * 15 + q * 15) + -7(7q + 9) = 0 (-120 + 15q) + -7(7q + 9) = 0 Reorder the terms: -120 + 15q + -7(9 + 7q) = 0 -120 + 15q + (9 * -7 + 7q * -7) = 0 -120 + 15q + (-63 + -49q) = 0 Reorder the terms: -120 + -63 + 15q + -49q = 0 Combine like terms: -120 + -63 = -183 -183 + 15q + -49q = 0 Combine like terms: 15q + -49q = -34q -183 + -34q = 0 Solving -183 + -34q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '183' to each side of the equation. -183 + 183 + -34q = 0 + 183 Combine like terms: -183 + 183 = 0 0 + -34q = 0 + 183 -34q = 0 + 183 Combine like terms: 0 + 183 = 183 -34q = 183 Divide each side by '-34'. q = -5.382352941 Simplifying q = -5.382352941
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