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Simplifying 3(6a + 4) = 23 + 7a Reorder the terms: 3(4 + 6a) = 23 + 7a (4 * 3 + 6a * 3) = 23 + 7a (12 + 18a) = 23 + 7a Solving 12 + 18a = 23 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 12 + 18a + -7a = 23 + 7a + -7a Combine like terms: 18a + -7a = 11a 12 + 11a = 23 + 7a + -7a Combine like terms: 7a + -7a = 0 12 + 11a = 23 + 0 12 + 11a = 23 Add '-12' to each side of the equation. 12 + -12 + 11a = 23 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 23 + -12 11a = 23 + -12 Combine like terms: 23 + -12 = 11 11a = 11 Divide each side by '11'. a = 1 Simplifying a = 1
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