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Simplifying 4(3q + -1) + -5 + 3(1 + -1q) = 0 Reorder the terms: 4(-1 + 3q) + -5 + 3(1 + -1q) = 0 (-1 * 4 + 3q * 4) + -5 + 3(1 + -1q) = 0 (-4 + 12q) + -5 + 3(1 + -1q) = 0 -4 + 12q + -5 + (1 * 3 + -1q * 3) = 0 -4 + 12q + -5 + (3 + -3q) = 0 Reorder the terms: -4 + -5 + 3 + 12q + -3q = 0 Combine like terms: -4 + -5 = -9 -9 + 3 + 12q + -3q = 0 Combine like terms: -9 + 3 = -6 -6 + 12q + -3q = 0 Combine like terms: 12q + -3q = 9q -6 + 9q = 0 Solving -6 + 9q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 9q = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9q = 0 + 6 9q = 0 + 6 Combine like terms: 0 + 6 = 6 9q = 6 Divide each side by '9'. q = 0.6666666667 Simplifying q = 0.6666666667
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