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Simplifying 5(a + 4) + -6a + 1 = 12 Reorder the terms: 5(4 + a) + -6a + 1 = 12 (4 * 5 + a * 5) + -6a + 1 = 12 (20 + 5a) + -6a + 1 = 12 Reorder the terms: 20 + 1 + 5a + -6a = 12 Combine like terms: 20 + 1 = 21 21 + 5a + -6a = 12 Combine like terms: 5a + -6a = -1a 21 + -1a = 12 Solving 21 + -1a = 12 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1a = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -1a = 12 + -21 -1a = 12 + -21 Combine like terms: 12 + -21 = -9 -1a = -9 Divide each side by '-1'. a = 9 Simplifying a = 9
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