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Simplifying 12a + 5 = 3(a + -6) + 5 Reorder the terms: 5 + 12a = 3(a + -6) + 5 Reorder the terms: 5 + 12a = 3(-6 + a) + 5 5 + 12a = (-6 * 3 + a * 3) + 5 5 + 12a = (-18 + 3a) + 5 Reorder the terms: 5 + 12a = -18 + 5 + 3a Combine like terms: -18 + 5 = -13 5 + 12a = -13 + 3a Solving 5 + 12a = -13 + 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 + 12a + -3a = -13 + 3a + -3a Combine like terms: 12a + -3a = 9a 5 + 9a = -13 + 3a + -3a Combine like terms: 3a + -3a = 0 5 + 9a = -13 + 0 5 + 9a = -13 Add '-5' to each side of the equation. 5 + -5 + 9a = -13 + -5 Combine like terms: 5 + -5 = 0 0 + 9a = -13 + -5 9a = -13 + -5 Combine like terms: -13 + -5 = -18 9a = -18 Divide each side by '9'. a = -2 Simplifying a = -2
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