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Simplifying 4a + 3 + -1a = -7 + 2 + 1a Reorder the terms: 3 + 4a + -1a = -7 + 2 + 1a Combine like terms: 4a + -1a = 3a 3 + 3a = -7 + 2 + 1a Combine like terms: -7 + 2 = -5 3 + 3a = -5 + 1a Solving 3 + 3a = -5 + 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. 3 + 3a + -1a = -5 + 1a + -1a Combine like terms: 3a + -1a = 2a 3 + 2a = -5 + 1a + -1a Combine like terms: 1a + -1a = 0 3 + 2a = -5 + 0 3 + 2a = -5 Add '-3' to each side of the equation. 3 + -3 + 2a = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = -5 + -3 2a = -5 + -3 Combine like terms: -5 + -3 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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