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Simplifying 3(4 + -1a) + 2a + 4a + 1 = 22 (4 * 3 + -1a * 3) + 2a + 4a + 1 = 22 (12 + -3a) + 2a + 4a + 1 = 22 Reorder the terms: 12 + 1 + -3a + 2a + 4a = 22 Combine like terms: 12 + 1 = 13 13 + -3a + 2a + 4a = 22 Combine like terms: -3a + 2a = -1a 13 + -1a + 4a = 22 Combine like terms: -1a + 4a = 3a 13 + 3a = 22 Solving 13 + 3a = 22 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3a = 22 + -13 Combine like terms: 13 + -13 = 0 0 + 3a = 22 + -13 3a = 22 + -13 Combine like terms: 22 + -13 = 9 3a = 9 Divide each side by '3'. a = 3 Simplifying a = 3
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