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Simplifying 6q + -5(a + -3) = 5q Reorder the terms: 6q + -5(-3 + a) = 5q 6q + (-3 * -5 + a * -5) = 5q 6q + (15 + -5a) = 5q Reorder the terms: 15 + -5a + 6q = 5q Solving 15 + -5a + 6q = 5q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -5a + -15 + 6q = -15 + 5q Reorder the terms: 15 + -15 + -5a + 6q = -15 + 5q Combine like terms: 15 + -15 = 0 0 + -5a + 6q = -15 + 5q -5a + 6q = -15 + 5q Add '-6q' to each side of the equation. -5a + 6q + -6q = -15 + 5q + -6q Combine like terms: 6q + -6q = 0 -5a + 0 = -15 + 5q + -6q -5a = -15 + 5q + -6q Combine like terms: 5q + -6q = -1q -5a = -15 + -1q Divide each side by '-5'. a = 3 + 0.2q Simplifying a = 3 + 0.2q
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