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Simplifying 7(2q + 1) = 4q + 11 Reorder the terms: 7(1 + 2q) = 4q + 11 (1 * 7 + 2q * 7) = 4q + 11 (7 + 14q) = 4q + 11 Reorder the terms: 7 + 14q = 11 + 4q Solving 7 + 14q = 11 + 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. 7 + 14q + -4q = 11 + 4q + -4q Combine like terms: 14q + -4q = 10q 7 + 10q = 11 + 4q + -4q Combine like terms: 4q + -4q = 0 7 + 10q = 11 + 0 7 + 10q = 11 Add '-7' to each side of the equation. 7 + -7 + 10q = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 10q = 11 + -7 10q = 11 + -7 Combine like terms: 11 + -7 = 4 10q = 4 Divide each side by '10'. q = 0.4 Simplifying q = 0.4
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