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Simplifying 5(a + 4) = 12a + -1 Reorder the terms: 5(4 + a) = 12a + -1 (4 * 5 + a * 5) = 12a + -1 (20 + 5a) = 12a + -1 Reorder the terms: 20 + 5a = -1 + 12a Solving 20 + 5a = -1 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 20 + 5a + -12a = -1 + 12a + -12a Combine like terms: 5a + -12a = -7a 20 + -7a = -1 + 12a + -12a Combine like terms: 12a + -12a = 0 20 + -7a = -1 + 0 20 + -7a = -1 Add '-20' to each side of the equation. 20 + -20 + -7a = -1 + -20 Combine like terms: 20 + -20 = 0 0 + -7a = -1 + -20 -7a = -1 + -20 Combine like terms: -1 + -20 = -21 -7a = -21 Divide each side by '-7'. a = 3 Simplifying a = 3
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