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Simplifying 2(12a + 5) = 2(11a + -7) Reorder the terms: 2(5 + 12a) = 2(11a + -7) (5 * 2 + 12a * 2) = 2(11a + -7) (10 + 24a) = 2(11a + -7) Reorder the terms: 10 + 24a = 2(-7 + 11a) 10 + 24a = (-7 * 2 + 11a * 2) 10 + 24a = (-14 + 22a) Solving 10 + 24a = -14 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. 10 + 24a + -22a = -14 + 22a + -22a Combine like terms: 24a + -22a = 2a 10 + 2a = -14 + 22a + -22a Combine like terms: 22a + -22a = 0 10 + 2a = -14 + 0 10 + 2a = -14 Add '-10' to each side of the equation. 10 + -10 + 2a = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 2a = -14 + -10 2a = -14 + -10 Combine like terms: -14 + -10 = -24 2a = -24 Divide each side by '2'. a = -12 Simplifying a = -12
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