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Simplifying 5.1q + -1.7 + -4.8q = -0.7q + -1.9 Reorder the terms: -1.7 + 5.1q + -4.8q = -0.7q + -1.9 Combine like terms: 5.1q + -4.8q = 0.3q -1.7 + 0.3q = -0.7q + -1.9 Reorder the terms: -1.7 + 0.3q = -1.9 + -0.7q Solving -1.7 + 0.3q = -1.9 + -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. -1.7 + 0.3q + 0.7q = -1.9 + -0.7q + 0.7q Combine like terms: 0.3q + 0.7q = 1q -1.7 + 1q = -1.9 + -0.7q + 0.7q Combine like terms: -0.7q + 0.7q = 0.0 -1.7 + 1q = -1.9 + 0.0 -1.7 + 1q = -1.9 Add '1.7' to each side of the equation. -1.7 + 1.7 + 1q = -1.9 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + 1q = -1.9 + 1.7 1q = -1.9 + 1.7 Combine like terms: -1.9 + 1.7 = -0.2 1q = -0.2 Divide each side by '1'. q = -0.2 Simplifying q = -0.2
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