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Simplifying 6(2q + 3) + 4(q + -2) = 122 Reorder the terms: 6(3 + 2q) + 4(q + -2) = 122 (3 * 6 + 2q * 6) + 4(q + -2) = 122 (18 + 12q) + 4(q + -2) = 122 Reorder the terms: 18 + 12q + 4(-2 + q) = 122 18 + 12q + (-2 * 4 + q * 4) = 122 18 + 12q + (-8 + 4q) = 122 Reorder the terms: 18 + -8 + 12q + 4q = 122 Combine like terms: 18 + -8 = 10 10 + 12q + 4q = 122 Combine like terms: 12q + 4q = 16q 10 + 16q = 122 Solving 10 + 16q = 122 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 16q = 122 + -10 Combine like terms: 10 + -10 = 0 0 + 16q = 122 + -10 16q = 122 + -10 Combine like terms: 122 + -10 = 112 16q = 112 Divide each side by '16'. q = 7 Simplifying q = 7
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