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Simplifying 3.4q + -4.5 + -3.7q = -1.3q + -5.7 Reorder the terms: -4.5 + 3.4q + -3.7q = -1.3q + -5.7 Combine like terms: 3.4q + -3.7q = -0.3q -4.5 + -0.3q = -1.3q + -5.7 Reorder the terms: -4.5 + -0.3q = -5.7 + -1.3q Solving -4.5 + -0.3q = -5.7 + -1.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.3q' to each side of the equation. -4.5 + -0.3q + 1.3q = -5.7 + -1.3q + 1.3q Combine like terms: -0.3q + 1.3q = 1q -4.5 + 1q = -5.7 + -1.3q + 1.3q Combine like terms: -1.3q + 1.3q = 0.0 -4.5 + 1q = -5.7 + 0.0 -4.5 + 1q = -5.7 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1q = -5.7 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1q = -5.7 + 4.5 1q = -5.7 + 4.5 Combine like terms: -5.7 + 4.5 = -1.2 1q = -1.2 Divide each side by '1'. q = -1.2 Simplifying q = -1.2
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