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Simplifying 2(6q + 1) = 4q + 5 Reorder the terms: 2(1 + 6q) = 4q + 5 (1 * 2 + 6q * 2) = 4q + 5 (2 + 12q) = 4q + 5 Reorder the terms: 2 + 12q = 5 + 4q Solving 2 + 12q = 5 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 2 + 12q + -4q = 5 + 4q + -4q Combine like terms: 12q + -4q = 8q 2 + 8q = 5 + 4q + -4q Combine like terms: 4q + -4q = 0 2 + 8q = 5 + 0 2 + 8q = 5 Add '-2' to each side of the equation. 2 + -2 + 8q = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 8q = 5 + -2 8q = 5 + -2 Combine like terms: 5 + -2 = 3 8q = 3 Divide each side by '8'. q = 0.375 Simplifying q = 0.375
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