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Simplifying 3a + -1 = 15 + a Reorder the terms: -1 + 3a = 15 + a Solving -1 + 3a = 15 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + 3a + -1a = 15 + a + -1a Combine like terms: 3a + -1a = 2a -1 + 2a = 15 + a + -1a Combine like terms: a + -1a = 0 -1 + 2a = 15 + 0 -1 + 2a = 15 Add '1' to each side of the equation. -1 + 1 + 2a = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 15 + 1 2a = 15 + 1 Combine like terms: 15 + 1 = 16 2a = 16 Divide each side by '2'. a = 8 Simplifying a = 8
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