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Simplifying 5.1q + -5.3 + -5.2q = -1.1q + -4.3 Reorder the terms: -5.3 + 5.1q + -5.2q = -1.1q + -4.3 Combine like terms: 5.1q + -5.2q = -0.1q -5.3 + -0.1q = -1.1q + -4.3 Reorder the terms: -5.3 + -0.1q = -4.3 + -1.1q Solving -5.3 + -0.1q = -4.3 + -1.1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.1q' to each side of the equation. -5.3 + -0.1q + 1.1q = -4.3 + -1.1q + 1.1q Combine like terms: -0.1q + 1.1q = 1q -5.3 + 1q = -4.3 + -1.1q + 1.1q Combine like terms: -1.1q + 1.1q = 0.0 -5.3 + 1q = -4.3 + 0.0 -5.3 + 1q = -4.3 Add '5.3' to each side of the equation. -5.3 + 5.3 + 1q = -4.3 + 5.3 Combine like terms: -5.3 + 5.3 = 0.0 0.0 + 1q = -4.3 + 5.3 1q = -4.3 + 5.3 Combine like terms: -4.3 + 5.3 = 1 1q = 1 Divide each side by '1'. q = 1 Simplifying q = 1
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