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Simplifying 5.1q + -2.6 + -4.8q = -0.7q + -5.8 Reorder the terms: -2.6 + 5.1q + -4.8q = -0.7q + -5.8 Combine like terms: 5.1q + -4.8q = 0.3q -2.6 + 0.3q = -0.7q + -5.8 Reorder the terms: -2.6 + 0.3q = -5.8 + -0.7q Solving -2.6 + 0.3q = -5.8 + -0.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '0.7q' to each side of the equation. -2.6 + 0.3q + 0.7q = -5.8 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -2.6 + 1q = -5.8 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -2.6 + 1q = -5.8 + 0.0 -2.6 + 1q = -5.8 Add '2.6' to each side of the equation. -2.6 + 2.6 + 1q = -5.8 + 2.6 Combine like terms: -2.6 + 2.6 = 0.0 0.0 + 1q = -5.8 + 2.6 1q = -5.8 + 2.6 Combine like terms: -5.8 + 2.6 = -3.2 1q = -3.2 Divide each side by '1'. q = -3.2 Simplifying q = -3.2
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