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Simplifying 5.3q + -4.9 + -5.5q = 1.2q + -3.6 Reorder the terms: -4.9 + 5.3q + -5.5q = 1.2q + -3.6 Combine like terms: 5.3q + -5.5q = -0.2q -4.9 + -0.2q = 1.2q + -3.6 Reorder the terms: -4.9 + -0.2q = -3.6 + 1.2q Solving -4.9 + -0.2q = -3.6 + 1.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.2q' to each side of the equation. -4.9 + -0.2q + -1.2q = -3.6 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -4.9 + -1.4q = -3.6 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -4.9 + -1.4q = -3.6 + 0.0 -4.9 + -1.4q = -3.6 Add '4.9' to each side of the equation. -4.9 + 4.9 + -1.4q = -3.6 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -1.4q = -3.6 + 4.9 -1.4q = -3.6 + 4.9 Combine like terms: -3.6 + 4.9 = 1.3 -1.4q = 1.3 Divide each side by '-1.4'. q = -0.9285714286 Simplifying q = -0.9285714286
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