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Simplifying 1 + 3a = -15 + 2a + -1a Combine like terms: 2a + -1a = 1a 1 + 3a = -15 + 1a Solving 1 + 3a = -15 + 1a 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 + 1a + -1a Combine like terms: 3a + -1a = 2a 1 + 2a = -15 + 1a + -1a Combine like terms: 1a + -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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