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Simplifying -1(3q + 6) + 8 = 19 Reorder the terms: -1(6 + 3q) + 8 = 19 (6 * -1 + 3q * -1) + 8 = 19 (-6 + -3q) + 8 = 19 Reorder the terms: -6 + 8 + -3q = 19 Combine like terms: -6 + 8 = 2 2 + -3q = 19 Solving 2 + -3q = 19 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3q = 19 + -2 Combine like terms: 2 + -2 = 0 0 + -3q = 19 + -2 -3q = 19 + -2 Combine like terms: 19 + -2 = 17 -3q = 17 Divide each side by '-3'. q = -5.666666667 Simplifying q = -5.666666667
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