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Simplifying 3(4q + -1) + -2(3q + 4) = 0 Reorder the terms: 3(-1 + 4q) + -2(3q + 4) = 0 (-1 * 3 + 4q * 3) + -2(3q + 4) = 0 (-3 + 12q) + -2(3q + 4) = 0 Reorder the terms: -3 + 12q + -2(4 + 3q) = 0 -3 + 12q + (4 * -2 + 3q * -2) = 0 -3 + 12q + (-8 + -6q) = 0 Reorder the terms: -3 + -8 + 12q + -6q = 0 Combine like terms: -3 + -8 = -11 -11 + 12q + -6q = 0 Combine like terms: 12q + -6q = 6q -11 + 6q = 0 Solving -11 + 6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 6q = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 6q = 0 + 11 6q = 0 + 11 Combine like terms: 0 + 11 = 11 6q = 11 Divide each side by '6'. q = 1.833333333 Simplifying q = 1.833333333
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