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Simplifying -6(5q + 2) = -1(9 + 3q) + 2q Reorder the terms: -6(2 + 5q) = -1(9 + 3q) + 2q (2 * -6 + 5q * -6) = -1(9 + 3q) + 2q (-12 + -30q) = -1(9 + 3q) + 2q -12 + -30q = (9 * -1 + 3q * -1) + 2q -12 + -30q = (-9 + -3q) + 2q Combine like terms: -3q + 2q = -1q -12 + -30q = -9 + -1q Solving -12 + -30q = -9 + -1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add 'q' to each side of the equation. -12 + -30q + q = -9 + -1q + q Combine like terms: -30q + q = -29q -12 + -29q = -9 + -1q + q Combine like terms: -1q + q = 0 -12 + -29q = -9 + 0 -12 + -29q = -9 Add '12' to each side of the equation. -12 + 12 + -29q = -9 + 12 Combine like terms: -12 + 12 = 0 0 + -29q = -9 + 12 -29q = -9 + 12 Combine like terms: -9 + 12 = 3 -29q = 3 Divide each side by '-29'. q = -0.1034482759 Simplifying q = -0.1034482759
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