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Simplifying 7q + 3(2q + -1) = 8q + 17 Reorder the terms: 7q + 3(-1 + 2q) = 8q + 17 7q + (-1 * 3 + 2q * 3) = 8q + 17 7q + (-3 + 6q) = 8q + 17 Reorder the terms: -3 + 7q + 6q = 8q + 17 Combine like terms: 7q + 6q = 13q -3 + 13q = 8q + 17 Reorder the terms: -3 + 13q = 17 + 8q Solving -3 + 13q = 17 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. -3 + 13q + -8q = 17 + 8q + -8q Combine like terms: 13q + -8q = 5q -3 + 5q = 17 + 8q + -8q Combine like terms: 8q + -8q = 0 -3 + 5q = 17 + 0 -3 + 5q = 17 Add '3' to each side of the equation. -3 + 3 + 5q = 17 + 3 Combine like terms: -3 + 3 = 0 0 + 5q = 17 + 3 5q = 17 + 3 Combine like terms: 17 + 3 = 20 5q = 20 Divide each side by '5'. q = 4 Simplifying q = 4
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