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Simplifying 3(2a + 1) + -1a = 1a + 6 Reorder the terms: 3(1 + 2a) + -1a = 1a + 6 (1 * 3 + 2a * 3) + -1a = 1a + 6 (3 + 6a) + -1a = 1a + 6 Combine like terms: 6a + -1a = 5a 3 + 5a = 1a + 6 Reorder the terms: 3 + 5a = 6 + 1a Solving 3 + 5a = 6 + 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 + 5a + -1a = 6 + 1a + -1a Combine like terms: 5a + -1a = 4a 3 + 4a = 6 + 1a + -1a Combine like terms: 1a + -1a = 0 3 + 4a = 6 + 0 3 + 4a = 6 Add '-3' to each side of the equation. 3 + -3 + 4a = 6 + -3 Combine like terms: 3 + -3 = 0 0 + 4a = 6 + -3 4a = 6 + -3 Combine like terms: 6 + -3 = 3 4a = 3 Divide each side by '4'. a = 0.75 Simplifying a = 0.75
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