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Simplifying 10q + -5 + 2q + -1(q + -1) = 5 Reorder the terms: 10q + -5 + 2q + -1(-1 + q) = 5 10q + -5 + 2q + (-1 * -1 + q * -1) = 5 10q + -5 + 2q + (1 + -1q) = 5 Reorder the terms: -5 + 1 + 10q + 2q + -1q = 5 Combine like terms: -5 + 1 = -4 -4 + 10q + 2q + -1q = 5 Combine like terms: 10q + 2q = 12q -4 + 12q + -1q = 5 Combine like terms: 12q + -1q = 11q -4 + 11q = 5 Solving -4 + 11q = 5 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 + 11q = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 11q = 5 + 4 11q = 5 + 4 Combine like terms: 5 + 4 = 9 11q = 9 Divide each side by '11'. q = 0.8181818182 Simplifying q = 0.8181818182
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