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Simplifying 21 + 6(3q + 10) + -3(7 + -1q) = 0 Reorder the terms: 21 + 6(10 + 3q) + -3(7 + -1q) = 0 21 + (10 * 6 + 3q * 6) + -3(7 + -1q) = 0 21 + (60 + 18q) + -3(7 + -1q) = 0 21 + 60 + 18q + (7 * -3 + -1q * -3) = 0 21 + 60 + 18q + (-21 + 3q) = 0 Reorder the terms: 21 + 60 + -21 + 18q + 3q = 0 Combine like terms: 21 + 60 = 81 81 + -21 + 18q + 3q = 0 Combine like terms: 81 + -21 = 60 60 + 18q + 3q = 0 Combine like terms: 18q + 3q = 21q 60 + 21q = 0 Solving 60 + 21q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 21q = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 21q = 0 + -60 21q = 0 + -60 Combine like terms: 0 + -60 = -60 21q = -60 Divide each side by '21'. q = -2.857142857 Simplifying q = -2.857142857
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