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Simplifying 1 = -1q + -6(-2q + 2) Reorder the terms: 1 = -1q + -6(2 + -2q) 1 = -1q + (2 * -6 + -2q * -6) 1 = -1q + (-12 + 12q) Reorder the terms: 1 = -12 + -1q + 12q Combine like terms: -1q + 12q = 11q 1 = -12 + 11q Solving 1 = -12 + 11q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-11q' to each side of the equation. 1 + -11q = -12 + 11q + -11q Combine like terms: 11q + -11q = 0 1 + -11q = -12 + 0 1 + -11q = -12 Add '-1' to each side of the equation. 1 + -1 + -11q = -12 + -1 Combine like terms: 1 + -1 = 0 0 + -11q = -12 + -1 -11q = -12 + -1 Combine like terms: -12 + -1 = -13 -11q = -13 Divide each side by '-11'. q = 1.181818182 Simplifying q = 1.181818182
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