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Simplifying 3.4q + -3.7 + -3.6q = 1.2q + -2.1 Reorder the terms: -3.7 + 3.4q + -3.6q = 1.2q + -2.1 Combine like terms: 3.4q + -3.6q = -0.2q -3.7 + -0.2q = 1.2q + -2.1 Reorder the terms: -3.7 + -0.2q = -2.1 + 1.2q Solving -3.7 + -0.2q = -2.1 + 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. -3.7 + -0.2q + -1.2q = -2.1 + 1.2q + -1.2q Combine like terms: -0.2q + -1.2q = -1.4q -3.7 + -1.4q = -2.1 + 1.2q + -1.2q Combine like terms: 1.2q + -1.2q = 0.0 -3.7 + -1.4q = -2.1 + 0.0 -3.7 + -1.4q = -2.1 Add '3.7' to each side of the equation. -3.7 + 3.7 + -1.4q = -2.1 + 3.7 Combine like terms: -3.7 + 3.7 = 0.0 0.0 + -1.4q = -2.1 + 3.7 -1.4q = -2.1 + 3.7 Combine like terms: -2.1 + 3.7 = 1.6 -1.4q = 1.6 Divide each side by '-1.4'. q = -1.142857143 Simplifying q = -1.142857143
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