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Simplifying 4.2q + -4.1 + -4.9 = 1.7q + -2.1 Reorder the terms: -4.1 + -4.9 + 4.2q = 1.7q + -2.1 Combine like terms: -4.1 + -4.9 = -9 -9 + 4.2q = 1.7q + -2.1 Reorder the terms: -9 + 4.2q = -2.1 + 1.7q Solving -9 + 4.2q = -2.1 + 1.7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1.7q' to each side of the equation. -9 + 4.2q + -1.7q = -2.1 + 1.7q + -1.7q Combine like terms: 4.2q + -1.7q = 2.5q -9 + 2.5q = -2.1 + 1.7q + -1.7q Combine like terms: 1.7q + -1.7q = 0.0 -9 + 2.5q = -2.1 + 0.0 -9 + 2.5q = -2.1 Add '9' to each side of the equation. -9 + 9 + 2.5q = -2.1 + 9 Combine like terms: -9 + 9 = 0 0 + 2.5q = -2.1 + 9 2.5q = -2.1 + 9 Combine like terms: -2.1 + 9 = 6.9 2.5q = 6.9 Divide each side by '2.5'. q = 2.76 Simplifying q = 2.76
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