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Simplifying -1(6a + 1) + 2(3 + -1q) = q Reorder the terms: -1(1 + 6a) + 2(3 + -1q) = q (1 * -1 + 6a * -1) + 2(3 + -1q) = q (-1 + -6a) + 2(3 + -1q) = q -1 + -6a + (3 * 2 + -1q * 2) = q -1 + -6a + (6 + -2q) = q Reorder the terms: -1 + 6 + -6a + -2q = q Combine like terms: -1 + 6 = 5 5 + -6a + -2q = q Solving 5 + -6a + -2q = q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -6a + -5 + -2q = -5 + q Reorder the terms: 5 + -5 + -6a + -2q = -5 + q Combine like terms: 5 + -5 = 0 0 + -6a + -2q = -5 + q -6a + -2q = -5 + q Add '2q' to each side of the equation. -6a + -2q + 2q = -5 + q + 2q Combine like terms: -2q + 2q = 0 -6a + 0 = -5 + q + 2q -6a = -5 + q + 2q Combine like terms: q + 2q = 3q -6a = -5 + 3q Divide each side by '-6'. a = 0.8333333333 + -0.5q Simplifying a = 0.8333333333 + -0.5q
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