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Simplifying 3(a + 1) + 2(a + -1) = a + 4 Reorder the terms: 3(1 + a) + 2(a + -1) = a + 4 (1 * 3 + a * 3) + 2(a + -1) = a + 4 (3 + 3a) + 2(a + -1) = a + 4 Reorder the terms: 3 + 3a + 2(-1 + a) = a + 4 3 + 3a + (-1 * 2 + a * 2) = a + 4 3 + 3a + (-2 + 2a) = a + 4 Reorder the terms: 3 + -2 + 3a + 2a = a + 4 Combine like terms: 3 + -2 = 1 1 + 3a + 2a = a + 4 Combine like terms: 3a + 2a = 5a 1 + 5a = a + 4 Reorder the terms: 1 + 5a = 4 + a Solving 1 + 5a = 4 + 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 + 5a + -1a = 4 + a + -1a Combine like terms: 5a + -1a = 4a 1 + 4a = 4 + a + -1a Combine like terms: a + -1a = 0 1 + 4a = 4 + 0 1 + 4a = 4 Add '-1' to each side of the equation. 1 + -1 + 4a = 4 + -1 Combine like terms: 1 + -1 = 0 0 + 4a = 4 + -1 4a = 4 + -1 Combine like terms: 4 + -1 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75
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