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Simplifying 3.4q + -4.2 + -5.7q = -3.3q + -1.2 Reorder the terms: -4.2 + 3.4q + -5.7q = -3.3q + -1.2 Combine like terms: 3.4q + -5.7q = -2.3q -4.2 + -2.3q = -3.3q + -1.2 Reorder the terms: -4.2 + -2.3q = -1.2 + -3.3q Solving -4.2 + -2.3q = -1.2 + -3.3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3.3q' to each side of the equation. -4.2 + -2.3q + 3.3q = -1.2 + -3.3q + 3.3q Combine like terms: -2.3q + 3.3q = 1q -4.2 + 1q = -1.2 + -3.3q + 3.3q Combine like terms: -3.3q + 3.3q = 0.0 -4.2 + 1q = -1.2 + 0.0 -4.2 + 1q = -1.2 Add '4.2' to each side of the equation. -4.2 + 4.2 + 1q = -1.2 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 1q = -1.2 + 4.2 1q = -1.2 + 4.2 Combine like terms: -1.2 + 4.2 = 3 1q = 3 Divide each side by '1'. q = 3 Simplifying q = 3
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