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Simplifying 7(6 + -2a) = 5(-4a + 2) (6 * 7 + -2a * 7) = 5(-4a + 2) (42 + -14a) = 5(-4a + 2) Reorder the terms: 42 + -14a = 5(2 + -4a) 42 + -14a = (2 * 5 + -4a * 5) 42 + -14a = (10 + -20a) Solving 42 + -14a = 10 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 42 + -14a + 20a = 10 + -20a + 20a Combine like terms: -14a + 20a = 6a 42 + 6a = 10 + -20a + 20a Combine like terms: -20a + 20a = 0 42 + 6a = 10 + 0 42 + 6a = 10 Add '-42' to each side of the equation. 42 + -42 + 6a = 10 + -42 Combine like terms: 42 + -42 = 0 0 + 6a = 10 + -42 6a = 10 + -42 Combine like terms: 10 + -42 = -32 6a = -32 Divide each side by '6'. a = -5.333333333 Simplifying a = -5.333333333
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