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Simplifying 3a + 1 = -2a + 14 Reorder the terms: 1 + 3a = -2a + 14 Reorder the terms: 1 + 3a = 14 + -2a Solving 1 + 3a = 14 + -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. 1 + 3a + 2a = 14 + -2a + 2a Combine like terms: 3a + 2a = 5a 1 + 5a = 14 + -2a + 2a Combine like terms: -2a + 2a = 0 1 + 5a = 14 + 0 1 + 5a = 14 Add '-1' to each side of the equation. 1 + -1 + 5a = 14 + -1 Combine like terms: 1 + -1 = 0 0 + 5a = 14 + -1 5a = 14 + -1 Combine like terms: 14 + -1 = 13 5a = 13 Divide each side by '5'. a = 2.6 Simplifying a = 2.6
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