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Simplifying 2.4q + -1.2 + -5.1q = -3.7q + -5.4 Reorder the terms: -1.2 + 2.4q + -5.1q = -3.7q + -5.4 Combine like terms: 2.4q + -5.1q = -2.7q -1.2 + -2.7q = -3.7q + -5.4 Reorder the terms: -1.2 + -2.7q = -5.4 + -3.7q Solving -1.2 + -2.7q = -5.4 + -3.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.7q' to each side of the equation. -1.2 + -2.7q + 3.7q = -5.4 + -3.7q + 3.7q Combine like terms: -2.7q + 3.7q = 1q -1.2 + 1q = -5.4 + -3.7q + 3.7q Combine like terms: -3.7q + 3.7q = 0.0 -1.2 + 1q = -5.4 + 0.0 -1.2 + 1q = -5.4 Add '1.2' to each side of the equation. -1.2 + 1.2 + 1q = -5.4 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 1q = -5.4 + 1.2 1q = -5.4 + 1.2 Combine like terms: -5.4 + 1.2 = -4.2 1q = -4.2 Divide each side by '1'. q = -4.2 Simplifying q = -4.2
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