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Simplifying 4q + -6 + -3(7 + -1q) = 0 4q + -6 + (7 * -3 + -1q * -3) = 0 4q + -6 + (-21 + 3q) = 0 Reorder the terms: -6 + -21 + 4q + 3q = 0 Combine like terms: -6 + -21 = -27 -27 + 4q + 3q = 0 Combine like terms: 4q + 3q = 7q -27 + 7q = 0 Solving -27 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 7q = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 7q = 0 + 27 7q = 0 + 27 Combine like terms: 0 + 27 = 27 7q = 27 Divide each side by '7'. q = 3.857142857 Simplifying q = 3.857142857
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