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Simplifying 3.2q + -2.6 + -3.4q = 1.2q + -3.4 Reorder the terms: -2.6 + 3.2q + -3.4q = 1.2q + -3.4 Combine like terms: 3.2q + -3.4q = -0.2q -2.6 + -0.2q = 1.2q + -3.4 Reorder the terms: -2.6 + -0.2q = -3.4 + 1.2q Solving -2.6 + -0.2q = -3.4 + 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. -2.6 + -0.2q + -1.2q = -3.4 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -2.6 + -1.4q = -3.4 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -2.6 + -1.4q = -3.4 + 0.0 -2.6 + -1.4q = -3.4 Add '2.6' to each side of the equation. -2.6 + 2.6 + -1.4q = -3.4 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + -1.4q = -3.4 + 2.6 -1.4q = -3.4 + 2.6 Combine like terms: -3.4 + 2.6 = -0.8 -1.4q = -0.8 Divide each side by '-1.4'. q = 0.5714285714 Simplifying q = 0.5714285714
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