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Simplifying 6(a + 4) = 5a + 12 Reorder the terms: 6(4 + a) = 5a + 12 (4 * 6 + a * 6) = 5a + 12 (24 + 6a) = 5a + 12 Reorder the terms: 24 + 6a = 12 + 5a Solving 24 + 6a = 12 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 24 + 6a + -5a = 12 + 5a + -5a Combine like terms: 6a + -5a = 1a 24 + 1a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 24 + 1a = 12 + 0 24 + 1a = 12 Add '-24' to each side of the equation. 24 + -24 + 1a = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 1a = 12 + -24 1a = 12 + -24 Combine like terms: 12 + -24 = -12 1a = -12 Divide each side by '1'. a = -12 Simplifying a = -12
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