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Simplifying 16.7q = -7(-2.7q + -11.16) + 0.9q Reorder the terms: 16.7q = -7(-11.16 + -2.7q) + 0.9q 16.7q = (-11.16 * -7 + -2.7q * -7) + 0.9q 16.7q = (78.12 + 18.9q) + 0.9q Combine like terms: 18.9q + 0.9q = 19.8q 16.7q = 78.12 + 19.8q Solving 16.7q = 78.12 + 19.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19.8q' to each side of the equation. 16.7q + -19.8q = 78.12 + 19.8q + -19.8q Combine like terms: 16.7q + -19.8q = -3.1q -3.1q = 78.12 + 19.8q + -19.8q Combine like terms: 19.8q + -19.8q = 0.0 -3.1q = 78.12 + 0.0 -3.1q = 78.12 Divide each side by '-3.1'. q = -25.2 Simplifying q = -25.2
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