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