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Simplifying 6(6 + -4a) = 7(-5a + 2) (6 * 6 + -4a * 6) = 7(-5a + 2) (36 + -24a) = 7(-5a + 2) Reorder the terms: 36 + -24a = 7(2 + -5a) 36 + -24a = (2 * 7 + -5a * 7) 36 + -24a = (14 + -35a) Solving 36 + -24a = 14 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. 36 + -24a + 35a = 14 + -35a + 35a Combine like terms: -24a + 35a = 11a 36 + 11a = 14 + -35a + 35a Combine like terms: -35a + 35a = 0 36 + 11a = 14 + 0 36 + 11a = 14 Add '-36' to each side of the equation. 36 + -36 + 11a = 14 + -36 Combine like terms: 36 + -36 = 0 0 + 11a = 14 + -36 11a = 14 + -36 Combine like terms: 14 + -36 = -22 11a = -22 Divide each side by '11'. a = -2 Simplifying a = -2
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