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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 = 13a 13a = 5 + 15a + -15a Combine like terms: 15a + -15a = 0 13a = 5 + 0 13a = 5 Divide each side by '13'. a = 0.3846153846 Simplifying a = 0.3846153846
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