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Simplifying 3a + 1 = 15 + -4a Reorder the terms: 1 + 3a = 15 + -4a Solving 1 + 3a = 15 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 1 + 3a + 4a = 15 + -4a + 4a Combine like terms: 3a + 4a = 7a 1 + 7a = 15 + -4a + 4a Combine like terms: -4a + 4a = 0 1 + 7a = 15 + 0 1 + 7a = 15 Add '-1' to each side of the equation. 1 + -1 + 7a = 15 + -1 Combine like terms: 1 + -1 = 0 0 + 7a = 15 + -1 7a = 15 + -1 Combine like terms: 15 + -1 = 14 7a = 14 Divide each side by '7'. a = 2 Simplifying a = 2
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