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Simplifying 1.1q + -5.6 + -5.2q = -5.1q + -1.4 Reorder the terms: -5.6 + 1.1q + -5.2q = -5.1q + -1.4 Combine like terms: 1.1q + -5.2q = -4.1q -5.6 + -4.1q = -5.1q + -1.4 Reorder the terms: -5.6 + -4.1q = -1.4 + -5.1q Solving -5.6 + -4.1q = -1.4 + -5.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5.1q' to each side of the equation. -5.6 + -4.1q + 5.1q = -1.4 + -5.1q + 5.1q Combine like terms: -4.1q + 5.1q = 1q -5.6 + 1q = -1.4 + -5.1q + 5.1q Combine like terms: -5.1q + 5.1q = 0.0 -5.6 + 1q = -1.4 + 0.0 -5.6 + 1q = -1.4 Add '5.6' to each side of the equation. -5.6 + 5.6 + 1q = -1.4 + 5.6 Combine like terms: -5.6 + 5.6 = 0.0 0.0 + 1q = -1.4 + 5.6 1q = -1.4 + 5.6 Combine like terms: -1.4 + 5.6 = 4.2 1q = 4.2 Divide each side by '1'. q = 4.2 Simplifying q = 4.2
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