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Simplifying q + 7 + -2(q + -2) = 3(2q + 1) + 5q Reorder the terms: q + 7 + -2(-2 + q) = 3(2q + 1) + 5q q + 7 + (-2 * -2 + q * -2) = 3(2q + 1) + 5q q + 7 + (4 + -2q) = 3(2q + 1) + 5q Reorder the terms: 7 + 4 + q + -2q = 3(2q + 1) + 5q Combine like terms: 7 + 4 = 11 11 + q + -2q = 3(2q + 1) + 5q Combine like terms: q + -2q = -1q 11 + -1q = 3(2q + 1) + 5q Reorder the terms: 11 + -1q = 3(1 + 2q) + 5q 11 + -1q = (1 * 3 + 2q * 3) + 5q 11 + -1q = (3 + 6q) + 5q Combine like terms: 6q + 5q = 11q 11 + -1q = 3 + 11q Solving 11 + -1q = 3 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 11 + -1q + -11q = 3 + 11q + -11q Combine like terms: -1q + -11q = -12q 11 + -12q = 3 + 11q + -11q Combine like terms: 11q + -11q = 0 11 + -12q = 3 + 0 11 + -12q = 3 Add '-11' to each side of the equation. 11 + -11 + -12q = 3 + -11 Combine like terms: 11 + -11 = 0 0 + -12q = 3 + -11 -12q = 3 + -11 Combine like terms: 3 + -11 = -8 -12q = -8 Divide each side by '-12'. q = 0.6666666667 Simplifying q = 0.6666666667
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