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Simplifying 8 + -1(3q + 4) = 6 + -1q Reorder the terms: 8 + -1(4 + 3q) = 6 + -1q 8 + (4 * -1 + 3q * -1) = 6 + -1q 8 + (-4 + -3q) = 6 + -1q Combine like terms: 8 + -4 = 4 4 + -3q = 6 + -1q Solving 4 + -3q = 6 + -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. 4 + -3q + q = 6 + -1q + q Combine like terms: -3q + q = -2q 4 + -2q = 6 + -1q + q Combine like terms: -1q + q = 0 4 + -2q = 6 + 0 4 + -2q = 6 Add '-4' to each side of the equation. 4 + -4 + -2q = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -2q = 6 + -4 -2q = 6 + -4 Combine like terms: 6 + -4 = 2 -2q = 2 Divide each side by '-2'. q = -1 Simplifying q = -1
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