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Simplifying 2.7q + -5.1 + -5.3q = 3.6q + -3.4 Reorder the terms: -5.1 + 2.7q + -5.3q = 3.6q + -3.4 Combine like terms: 2.7q + -5.3q = -2.6q -5.1 + -2.6q = 3.6q + -3.4 Reorder the terms: -5.1 + -2.6q = -3.4 + 3.6q Solving -5.1 + -2.6q = -3.4 + 3.6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3.6q' to each side of the equation. -5.1 + -2.6q + -3.6q = -3.4 + 3.6q + -3.6q Combine like terms: -2.6q + -3.6q = -6.2q -5.1 + -6.2q = -3.4 + 3.6q + -3.6q Combine like terms: 3.6q + -3.6q = 0.0 -5.1 + -6.2q = -3.4 + 0.0 -5.1 + -6.2q = -3.4 Add '5.1' to each side of the equation. -5.1 + 5.1 + -6.2q = -3.4 + 5.1 Combine like terms: -5.1 + 5.1 = 0.0 0.0 + -6.2q = -3.4 + 5.1 -6.2q = -3.4 + 5.1 Combine like terms: -3.4 + 5.1 = 1.7 -6.2q = 1.7 Divide each side by '-6.2'. q = -0.2741935484 Simplifying q = -0.2741935484
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