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Simplifying -4a + 1 = 9 + 3(2a + 1) + a Reorder the terms: 1 + -4a = 9 + 3(2a + 1) + a Reorder the terms: 1 + -4a = 9 + 3(1 + 2a) + a 1 + -4a = 9 + (1 * 3 + 2a * 3) + a 1 + -4a = 9 + (3 + 6a) + a Combine like terms: 9 + 3 = 12 1 + -4a = 12 + 6a + a Combine like terms: 6a + a = 7a 1 + -4a = 12 + 7a Solving 1 + -4a = 12 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 1 + -4a + -7a = 12 + 7a + -7a Combine like terms: -4a + -7a = -11a 1 + -11a = 12 + 7a + -7a Combine like terms: 7a + -7a = 0 1 + -11a = 12 + 0 1 + -11a = 12 Add '-1' to each side of the equation. 1 + -1 + -11a = 12 + -1 Combine like terms: 1 + -1 = 0 0 + -11a = 12 + -1 -11a = 12 + -1 Combine like terms: 12 + -1 = 11 -11a = 11 Divide each side by '-11'. a = -1 Simplifying a = -1
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