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Simplifying 3.2q + -1.2 + -3.69q = 1.4q + -5.2 Reorder the terms: -1.2 + 3.2q + -3.69q = 1.4q + -5.2 Combine like terms: 3.2q + -3.69q = -0.49q -1.2 + -0.49q = 1.4q + -5.2 Reorder the terms: -1.2 + -0.49q = -5.2 + 1.4q Solving -1.2 + -0.49q = -5.2 + 1.4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.4q' to each side of the equation. -1.2 + -0.49q + -1.4q = -5.2 + 1.4q + -1.4q Combine like terms: -0.49q + -1.4q = -1.89q -1.2 + -1.89q = -5.2 + 1.4q + -1.4q Combine like terms: 1.4q + -1.4q = 0.0 -1.2 + -1.89q = -5.2 + 0.0 -1.2 + -1.89q = -5.2 Add '1.2' to each side of the equation. -1.2 + 1.2 + -1.89q = -5.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -1.89q = -5.2 + 1.2 -1.89q = -5.2 + 1.2 Combine like terms: -5.2 + 1.2 = -4 -1.89q = -4 Divide each side by '-1.89'. q = 2.116402116 Simplifying q = 2.116402116
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