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Simplifying 3(a + 1) + 4a = 2a + 3 Reorder the terms: 3(1 + a) + 4a = 2a + 3 (1 * 3 + a * 3) + 4a = 2a + 3 (3 + 3a) + 4a = 2a + 3 Combine like terms: 3a + 4a = 7a 3 + 7a = 2a + 3 Reorder the terms: 3 + 7a = 3 + 2a Add '-3' to each side of the equation. 3 + -3 + 7a = 3 + -3 + 2a Combine like terms: 3 + -3 = 0 0 + 7a = 3 + -3 + 2a 7a = 3 + -3 + 2a Combine like terms: 3 + -3 = 0 7a = 0 + 2a 7a = 2a Solving 7a = 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 7a + -2a = 2a + -2a Combine like terms: 7a + -2a = 5a 5a = 2a + -2a Combine like terms: 2a + -2a = 0 5a = 0 Divide each side by '5'. a = 0 Simplifying a = 0
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