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Simplifying 100q + -93q + -5q + 7q + -7q + -2 = 96 Reorder the terms: -2 + 100q + -93q + -5q + 7q + -7q = 96 Combine like terms: 100q + -93q = 7q -2 + 7q + -5q + 7q + -7q = 96 Combine like terms: 7q + -5q = 2q -2 + 2q + 7q + -7q = 96 Combine like terms: 2q + 7q = 9q -2 + 9q + -7q = 96 Combine like terms: 9q + -7q = 2q -2 + 2q = 96 Solving -2 + 2q = 96 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2q = 96 + 2 Combine like terms: -2 + 2 = 0 0 + 2q = 96 + 2 2q = 96 + 2 Combine like terms: 96 + 2 = 98 2q = 98 Divide each side by '2'. q = 49 Simplifying q = 49
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