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Simplifying -5(a + -2) + 6(7 + -4a) = 9a + 2 + 12a Reorder the terms: -5(-2 + a) + 6(7 + -4a) = 9a + 2 + 12a (-2 * -5 + a * -5) + 6(7 + -4a) = 9a + 2 + 12a (10 + -5a) + 6(7 + -4a) = 9a + 2 + 12a 10 + -5a + (7 * 6 + -4a * 6) = 9a + 2 + 12a 10 + -5a + (42 + -24a) = 9a + 2 + 12a Reorder the terms: 10 + 42 + -5a + -24a = 9a + 2 + 12a Combine like terms: 10 + 42 = 52 52 + -5a + -24a = 9a + 2 + 12a Combine like terms: -5a + -24a = -29a 52 + -29a = 9a + 2 + 12a Reorder the terms: 52 + -29a = 2 + 9a + 12a Combine like terms: 9a + 12a = 21a 52 + -29a = 2 + 21a Solving 52 + -29a = 2 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. 52 + -29a + -21a = 2 + 21a + -21a Combine like terms: -29a + -21a = -50a 52 + -50a = 2 + 21a + -21a Combine like terms: 21a + -21a = 0 52 + -50a = 2 + 0 52 + -50a = 2 Add '-52' to each side of the equation. 52 + -52 + -50a = 2 + -52 Combine like terms: 52 + -52 = 0 0 + -50a = 2 + -52 -50a = 2 + -52 Combine like terms: 2 + -52 = -50 -50a = -50 Divide each side by '-50'. a = 1 Simplifying a = 1
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