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Simplifying 5.4q + -1.2 + -5.2 = -0.8q + -4.1 Reorder the terms: -1.2 + -5.2 + 5.4q = -0.8q + -4.1 Combine like terms: -1.2 + -5.2 = -6.4 -6.4 + 5.4q = -0.8q + -4.1 Reorder the terms: -6.4 + 5.4q = -4.1 + -0.8q Solving -6.4 + 5.4q = -4.1 + -0.8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.8q' to each side of the equation. -6.4 + 5.4q + 0.8q = -4.1 + -0.8q + 0.8q Combine like terms: 5.4q + 0.8q = 6.2q -6.4 + 6.2q = -4.1 + -0.8q + 0.8q Combine like terms: -0.8q + 0.8q = 0.0 -6.4 + 6.2q = -4.1 + 0.0 -6.4 + 6.2q = -4.1 Add '6.4' to each side of the equation. -6.4 + 6.4 + 6.2q = -4.1 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 6.2q = -4.1 + 6.4 6.2q = -4.1 + 6.4 Combine like terms: -4.1 + 6.4 = 2.3 6.2q = 2.3 Divide each side by '6.2'. q = 0.3709677419 Simplifying q = 0.3709677419
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