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Simplifying 5.1q + -4.7 + -4.8q = -0.7q + -1.6 Reorder the terms: -4.7 + 5.1q + -4.8q = -0.7q + -1.6 Combine like terms: 5.1q + -4.8q = 0.3q -4.7 + 0.3q = -0.7q + -1.6 Reorder the terms: -4.7 + 0.3q = -1.6 + -0.7q Solving -4.7 + 0.3q = -1.6 + -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. -4.7 + 0.3q + 0.7q = -1.6 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -4.7 + 1q = -1.6 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -4.7 + 1q = -1.6 + 0.0 -4.7 + 1q = -1.6 Add '4.7' to each side of the equation. -4.7 + 4.7 + 1q = -1.6 + 4.7 Combine like terms: -4.7 + 4.7 = 0.0 0.0 + 1q = -1.6 + 4.7 1q = -1.6 + 4.7 Combine like terms: -1.6 + 4.7 = 3.1 1q = 3.1 Divide each side by '1'. q = 3.1 Simplifying q = 3.1
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