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Simplifying 8 + -1(3q + 4) = 6 + -9 Reorder the terms: 8 + -1(4 + 3q) = 6 + -9 8 + (4 * -1 + 3q * -1) = 6 + -9 8 + (-4 + -3q) = 6 + -9 Combine like terms: 8 + -4 = 4 4 + -3q = 6 + -9 Combine like terms: 6 + -9 = -3 4 + -3q = -3 Solving 4 + -3q = -3 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3q = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -3q = -3 + -4 -3q = -3 + -4 Combine like terms: -3 + -4 = -7 -3q = -7 Divide each side by '-3'. q = 2.333333333 Simplifying q = 2.333333333
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