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Simplifying 2.7(14q + 7.2) + -3q = 9 Reorder the terms: 2.7(7.2 + 14q) + -3q = 9 (7.2 * 2.7 + 14q * 2.7) + -3q = 9 (19.44 + 37.8q) + -3q = 9 Combine like terms: 37.8q + -3q = 34.8q 19.44 + 34.8q = 9 Solving 19.44 + 34.8q = 9 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19.44' to each side of the equation. 19.44 + -19.44 + 34.8q = 9 + -19.44 Combine like terms: 19.44 + -19.44 = 0.00 0.00 + 34.8q = 9 + -19.44 34.8q = 9 + -19.44 Combine like terms: 9 + -19.44 = -10.44 34.8q = -10.44 Divide each side by '34.8'. q = -0.3 Simplifying q = -0.3
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