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Simplifying 2.2q + -5.3 + -4.7 = 3 + -5q + -4.9 Reorder the terms: -5.3 + -4.7 + 2.2q = 3 + -5q + -4.9 Combine like terms: -5.3 + -4.7 = -10 -10 + 2.2q = 3 + -5q + -4.9 Reorder the terms: -10 + 2.2q = 3 + -4.9 + -5q Combine like terms: 3 + -4.9 = -1.9 -10 + 2.2q = -1.9 + -5q Solving -10 + 2.2q = -1.9 + -5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '5q' to each side of the equation. -10 + 2.2q + 5q = -1.9 + -5q + 5q Combine like terms: 2.2q + 5q = 7.2q -10 + 7.2q = -1.9 + -5q + 5q Combine like terms: -5q + 5q = 0 -10 + 7.2q = -1.9 + 0 -10 + 7.2q = -1.9 Add '10' to each side of the equation. -10 + 10 + 7.2q = -1.9 + 10 Combine like terms: -10 + 10 = 0 0 + 7.2q = -1.9 + 10 7.2q = -1.9 + 10 Combine like terms: -1.9 + 10 = 8.1 7.2q = 8.1 Divide each side by '7.2'. q = 1.125 Simplifying q = 1.125
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