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Simplifying 1.3q + -4.3 + -3.4q = 3.1q + -1.8 Reorder the terms: -4.3 + 1.3q + -3.4q = 3.1q + -1.8 Combine like terms: 1.3q + -3.4q = -2.1q -4.3 + -2.1q = 3.1q + -1.8 Reorder the terms: -4.3 + -2.1q = -1.8 + 3.1q Solving -4.3 + -2.1q = -1.8 + 3.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.1q' to each side of the equation. -4.3 + -2.1q + -3.1q = -1.8 + 3.1q + -3.1q Combine like terms: -2.1q + -3.1q = -5.2q -4.3 + -5.2q = -1.8 + 3.1q + -3.1q Combine like terms: 3.1q + -3.1q = 0.0 -4.3 + -5.2q = -1.8 + 0.0 -4.3 + -5.2q = -1.8 Add '4.3' to each side of the equation. -4.3 + 4.3 + -5.2q = -1.8 + 4.3 Combine like terms: -4.3 + 4.3 = 0.0 0.0 + -5.2q = -1.8 + 4.3 -5.2q = -1.8 + 4.3 Combine like terms: -1.8 + 4.3 = 2.5 -5.2q = 2.5 Divide each side by '-5.2'. q = -0.4807692308 Simplifying q = -0.4807692308
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