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Simplifying 12a + 2a = -6(3 + -2a) + 5(a + 12) Combine like terms: 12a + 2a = 14a 14a = -6(3 + -2a) + 5(a + 12) 14a = (3 * -6 + -2a * -6) + 5(a + 12) 14a = (-18 + 12a) + 5(a + 12) Reorder the terms: 14a = -18 + 12a + 5(12 + a) 14a = -18 + 12a + (12 * 5 + a * 5) 14a = -18 + 12a + (60 + 5a) Reorder the terms: 14a = -18 + 60 + 12a + 5a Combine like terms: -18 + 60 = 42 14a = 42 + 12a + 5a Combine like terms: 12a + 5a = 17a 14a = 42 + 17a Solving 14a = 42 + 17a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17a' to each side of the equation. 14a + -17a = 42 + 17a + -17a Combine like terms: 14a + -17a = -3a -3a = 42 + 17a + -17a Combine like terms: 17a + -17a = 0 -3a = 42 + 0 -3a = 42 Divide each side by '-3'. a = -14 Simplifying a = -14
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