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Simplifying 3 + 2a = 13 + a(3) + -6a Reorder the terms for easier multiplication: 3 + 2a = 13 + 3a + -6a Combine like terms: 3a + -6a = -3a 3 + 2a = 13 + -3a Solving 3 + 2a = 13 + -3a 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. 3 + 2a + 3a = 13 + -3a + 3a Combine like terms: 2a + 3a = 5a 3 + 5a = 13 + -3a + 3a Combine like terms: -3a + 3a = 0 3 + 5a = 13 + 0 3 + 5a = 13 Add '-3' to each side of the equation. 3 + -3 + 5a = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 5a = 13 + -3 5a = 13 + -3 Combine like terms: 13 + -3 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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