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Simplifying -3q + 5a + 1 = 6q + 3a Reorder the terms: 1 + 5a + -3q = 6q + 3a Reorder the terms: 1 + 5a + -3q = 3a + 6q Solving 1 + 5a + -3q = 3a + 6q Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 1 + 5a + -3a + -3q = 3a + -3a + 6q Combine like terms: 5a + -3a = 2a 1 + 2a + -3q = 3a + -3a + 6q Combine like terms: 3a + -3a = 0 1 + 2a + -3q = 0 + 6q 1 + 2a + -3q = 6q Add '-1' to each side of the equation. 1 + 2a + -1 + -3q = -1 + 6q Reorder the terms: 1 + -1 + 2a + -3q = -1 + 6q Combine like terms: 1 + -1 = 0 0 + 2a + -3q = -1 + 6q 2a + -3q = -1 + 6q Add '3q' to each side of the equation. 2a + -3q + 3q = -1 + 6q + 3q Combine like terms: -3q + 3q = 0 2a + 0 = -1 + 6q + 3q 2a = -1 + 6q + 3q Combine like terms: 6q + 3q = 9q 2a = -1 + 9q Divide each side by '2'. a = -0.5 + 4.5q Simplifying a = -0.5 + 4.5q
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