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Simplifying 1.3q + -5.1 + -2.1q = -1.9q + -4.5 Reorder the terms: -5.1 + 1.3q + -2.1q = -1.9q + -4.5 Combine like terms: 1.3q + -2.1q = -0.8q -5.1 + -0.8q = -1.9q + -4.5 Reorder the terms: -5.1 + -0.8q = -4.5 + -1.9q Solving -5.1 + -0.8q = -4.5 + -1.9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '1.9q' to each side of the equation. -5.1 + -0.8q + 1.9q = -4.5 + -1.9q + 1.9q Combine like terms: -0.8q + 1.9q = 1.1q -5.1 + 1.1q = -4.5 + -1.9q + 1.9q Combine like terms: -1.9q + 1.9q = 0.0 -5.1 + 1.1q = -4.5 + 0.0 -5.1 + 1.1q = -4.5 Add '5.1' to each side of the equation. -5.1 + 5.1 + 1.1q = -4.5 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + 1.1q = -4.5 + 5.1 1.1q = -4.5 + 5.1 Combine like terms: -4.5 + 5.1 = 0.6 1.1q = 0.6 Divide each side by '1.1'. q = 0.5454545455 Simplifying q = 0.5454545455
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