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Simplifying 4q + 1 = 2q + 7 Reorder the terms: 1 + 4q = 2q + 7 Reorder the terms: 1 + 4q = 7 + 2q Solving 1 + 4q = 7 + 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. 1 + 4q + -2q = 7 + 2q + -2q Combine like terms: 4q + -2q = 2q 1 + 2q = 7 + 2q + -2q Combine like terms: 2q + -2q = 0 1 + 2q = 7 + 0 1 + 2q = 7 Add '-1' to each side of the equation. 1 + -1 + 2q = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2q = 7 + -1 2q = 7 + -1 Combine like terms: 7 + -1 = 6 2q = 6 Divide each side by '2'. q = 3 Simplifying q = 3
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