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Simplifying 5.5q + -1.5 + -5.6q = 1.1q + -2.9 Reorder the terms: -1.5 + 5.5q + -5.6q = 1.1q + -2.9 Combine like terms: 5.5q + -5.6q = -0.1q -1.5 + -0.1q = 1.1q + -2.9 Reorder the terms: -1.5 + -0.1q = -2.9 + 1.1q Solving -1.5 + -0.1q = -2.9 + 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. -1.5 + -0.1q + -1.1q = -2.9 + 1.1q + -1.1q Combine like terms: -0.1q + -1.1q = -1.2q -1.5 + -1.2q = -2.9 + 1.1q + -1.1q Combine like terms: 1.1q + -1.1q = 0.0 -1.5 + -1.2q = -2.9 + 0.0 -1.5 + -1.2q = -2.9 Add '1.5' to each side of the equation. -1.5 + 1.5 + -1.2q = -2.9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -1.2q = -2.9 + 1.5 -1.2q = -2.9 + 1.5 Combine like terms: -2.9 + 1.5 = -1.4 -1.2q = -1.4 Divide each side by '-1.2'. q = 1.166666667 Simplifying q = 1.166666667
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