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Simplifying 7(6a + -2a) = 5(-3a + 1) Combine like terms: 6a + -2a = 4a 7(4a) = 5(-3a + 1) Remove parenthesis around (4a) 7 * 4a = 5(-3a + 1) Multiply 7 * 4 28a = 5(-3a + 1) Reorder the terms: 28a = 5(1 + -3a) 28a = (1 * 5 + -3a * 5) 28a = (5 + -15a) Solving 28a = 5 + -15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15a' to each side of the equation. 28a + 15a = 5 + -15a + 15a Combine like terms: 28a + 15a = 43a 43a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 43a = 5 + 0 43a = 5 Divide each side by '43'. a = 0.1162790698 Simplifying a = 0.1162790698
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