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Simplifying 6a + 5 = 3(a + 4) Reorder the terms: 5 + 6a = 3(a + 4) Reorder the terms: 5 + 6a = 3(4 + a) 5 + 6a = (4 * 3 + a * 3) 5 + 6a = (12 + 3a) Solving 5 + 6a = 12 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5 + 6a + -3a = 12 + 3a + -3a Combine like terms: 6a + -3a = 3a 5 + 3a = 12 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 3a = 12 + 0 5 + 3a = 12 Add '-5' to each side of the equation. 5 + -5 + 3a = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 3a = 12 + -5 3a = 12 + -5 Combine like terms: 12 + -5 = 7 3a = 7 Divide each side by '3'. a = 2.333333333 Simplifying a = 2.333333333
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