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Simplifying 5q + 6 = 2a + -2 + q Reorder the terms: 6 + 5q = 2a + -2 + q Reorder the terms: 6 + 5q = -2 + 2a + q Solving 6 + 5q = -2 + 2a + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 6 + 5q + -1q = -2 + 2a + q + -1q Combine like terms: 5q + -1q = 4q 6 + 4q = -2 + 2a + q + -1q Combine like terms: q + -1q = 0 6 + 4q = -2 + 2a + 0 6 + 4q = -2 + 2a Add '-6' to each side of the equation. 6 + -6 + 4q = -2 + -6 + 2a Combine like terms: 6 + -6 = 0 0 + 4q = -2 + -6 + 2a 4q = -2 + -6 + 2a Combine like terms: -2 + -6 = -8 4q = -8 + 2a Divide each side by '4'. q = -2 + 0.5a Simplifying q = -2 + 0.5a
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