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Simplifying 7(a + 6) = 5a + 12 Reorder the terms: 7(6 + a) = 5a + 12 (6 * 7 + a * 7) = 5a + 12 (42 + 7a) = 5a + 12 Reorder the terms: 42 + 7a = 12 + 5a Solving 42 + 7a = 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. 42 + 7a + -5a = 12 + 5a + -5a Combine like terms: 7a + -5a = 2a 42 + 2a = 12 + 5a + -5a Combine like terms: 5a + -5a = 0 42 + 2a = 12 + 0 42 + 2a = 12 Add '-42' to each side of the equation. 42 + -42 + 2a = 12 + -42 Combine like terms: 42 + -42 = 0 0 + 2a = 12 + -42 2a = 12 + -42 Combine like terms: 12 + -42 = -30 2a = -30 Divide each side by '2'. a = -15 Simplifying a = -15
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