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Simplifying 1.4q + -5.3 + -5.6q = -5.2q + -3.2 Reorder the terms: -5.3 + 1.4q + -5.6q = -5.2q + -3.2 Combine like terms: 1.4q + -5.6q = -4.2q -5.3 + -4.2q = -5.2q + -3.2 Reorder the terms: -5.3 + -4.2q = -3.2 + -5.2q Solving -5.3 + -4.2q = -3.2 + -5.2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.2q' to each side of the equation. -5.3 + -4.2q + 5.2q = -3.2 + -5.2q + 5.2q Combine like terms: -4.2q + 5.2q = 1q -5.3 + 1q = -3.2 + -5.2q + 5.2q Combine like terms: -5.2q + 5.2q = 0.0 -5.3 + 1q = -3.2 + 0.0 -5.3 + 1q = -3.2 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -3.2 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -3.2 + 5.3 1q = -3.2 + 5.3 Combine like terms: -3.2 + 5.3 = 2.1 1q = 2.1 Divide each side by '1'. q = 2.1 Simplifying q = 2.1
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