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Simplifying 5.2q + -4.5 + -5.3q = 1.1q + -1.9 Reorder the terms: -4.5 + 5.2q + -5.3q = 1.1q + -1.9 Combine like terms: 5.2q + -5.3q = -0.1q -4.5 + -0.1q = 1.1q + -1.9 Reorder the terms: -4.5 + -0.1q = -1.9 + 1.1q Solving -4.5 + -0.1q = -1.9 + 1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.1q' to each side of the equation. -4.5 + -0.1q + -1.1q = -1.9 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -4.5 + -1.2q = -1.9 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -4.5 + -1.2q = -1.9 + 0.0 -4.5 + -1.2q = -1.9 Add '4.5' to each side of the equation. -4.5 + 4.5 + -1.2q = -1.9 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + -1.2q = -1.9 + 4.5 -1.2q = -1.9 + 4.5 Combine like terms: -1.9 + 4.5 = 2.6 -1.2q = 2.6 Divide each side by '-1.2'. q = -2.166666667 Simplifying q = -2.166666667
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