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Simplifying 14q + 8(1 + -1q) = 1 14q + (1 * 8 + -1q * 8) = 1 14q + (8 + -8q) = 1 Reorder the terms: 8 + 14q + -8q = 1 Combine like terms: 14q + -8q = 6q 8 + 6q = 1 Solving 8 + 6q = 1 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6q = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 6q = 1 + -8 6q = 1 + -8 Combine like terms: 1 + -8 = -7 6q = -7 Divide each side by '6'. q = -1.166666667 Simplifying q = -1.166666667
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