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Simplifying 5(a + 4) = 12 + 6a Reorder the terms: 5(4 + a) = 12 + 6a (4 * 5 + a * 5) = 12 + 6a (20 + 5a) = 12 + 6a Solving 20 + 5a = 12 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 20 + 5a + -6a = 12 + 6a + -6a Combine like terms: 5a + -6a = -1a 20 + -1a = 12 + 6a + -6a Combine like terms: 6a + -6a = 0 20 + -1a = 12 + 0 20 + -1a = 12 Add '-20' to each side of the equation. 20 + -20 + -1a = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -1a = 12 + -20 -1a = 12 + -20 Combine like terms: 12 + -20 = -8 -1a = -8 Divide each side by '-1'. a = 8 Simplifying a = 8
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