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Simplifying 3a + 1 = 16 + -1a Reorder the terms: 1 + 3a = 16 + -1a Solving 1 + 3a = 16 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 1 + 3a + a = 16 + -1a + a Combine like terms: 3a + a = 4a 1 + 4a = 16 + -1a + a Combine like terms: -1a + a = 0 1 + 4a = 16 + 0 1 + 4a = 16 Add '-1' to each side of the equation. 1 + -1 + 4a = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 16 + -1 4a = 16 + -1 Combine like terms: 16 + -1 = 15 4a = 15 Divide each side by '4'. a = 3.75 Simplifying a = 3.75
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