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Simplifying 3a + 14 = 5a + 1 Reorder the terms: 14 + 3a = 5a + 1 Reorder the terms: 14 + 3a = 1 + 5a Solving 14 + 3a = 1 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 14 + 3a + -5a = 1 + 5a + -5a Combine like terms: 3a + -5a = -2a 14 + -2a = 1 + 5a + -5a Combine like terms: 5a + -5a = 0 14 + -2a = 1 + 0 14 + -2a = 1 Add '-14' to each side of the equation. 14 + -14 + -2a = 1 + -14 Combine like terms: 14 + -14 = 0 0 + -2a = 1 + -14 -2a = 1 + -14 Combine like terms: 1 + -14 = -13 -2a = -13 Divide each side by '-2'. a = 6.5 Simplifying a = 6.5
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