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Simplifying 15.3q + -14.04 = 9(2.8q + 19.56) Reorder the terms: -14.04 + 15.3q = 9(2.8q + 19.56) Reorder the terms: -14.04 + 15.3q = 9(19.56 + 2.8q) -14.04 + 15.3q = (19.56 * 9 + 2.8q * 9) -14.04 + 15.3q = (176.04 + 25.2q) Solving -14.04 + 15.3q = 176.04 + 25.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-25.2q' to each side of the equation. -14.04 + 15.3q + -25.2q = 176.04 + 25.2q + -25.2q Combine like terms: 15.3q + -25.2q = -9.9q -14.04 + -9.9q = 176.04 + 25.2q + -25.2q Combine like terms: 25.2q + -25.2q = 0.0 -14.04 + -9.9q = 176.04 + 0.0 -14.04 + -9.9q = 176.04 Add '14.04' to each side of the equation. -14.04 + 14.04 + -9.9q = 176.04 + 14.04 Combine like terms: -14.04 + 14.04 = 0.00 0.00 + -9.9q = 176.04 + 14.04 -9.9q = 176.04 + 14.04 Combine like terms: 176.04 + 14.04 = 190.08 -9.9q = 190.08 Divide each side by '-9.9'. q = -19.2 Simplifying q = -19.2
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