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Simplifying -6(5q + 2) + -6 = 9 + 3q Reorder the terms: -6(2 + 5q) + -6 = 9 + 3q (2 * -6 + 5q * -6) + -6 = 9 + 3q (-12 + -30q) + -6 = 9 + 3q Reorder the terms: -12 + -6 + -30q = 9 + 3q Combine like terms: -12 + -6 = -18 -18 + -30q = 9 + 3q Solving -18 + -30q = 9 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -18 + -30q + -3q = 9 + 3q + -3q Combine like terms: -30q + -3q = -33q -18 + -33q = 9 + 3q + -3q Combine like terms: 3q + -3q = 0 -18 + -33q = 9 + 0 -18 + -33q = 9 Add '18' to each side of the equation. -18 + 18 + -33q = 9 + 18 Combine like terms: -18 + 18 = 0 0 + -33q = 9 + 18 -33q = 9 + 18 Combine like terms: 9 + 18 = 27 -33q = 27 Divide each side by '-33'. q = -0.8181818182 Simplifying q = -0.8181818182
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