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Simplifying 5(7a + 6) = 2 + 7a Reorder the terms: 5(6 + 7a) = 2 + 7a (6 * 5 + 7a * 5) = 2 + 7a (30 + 35a) = 2 + 7a Solving 30 + 35a = 2 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 30 + 35a + -7a = 2 + 7a + -7a Combine like terms: 35a + -7a = 28a 30 + 28a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 30 + 28a = 2 + 0 30 + 28a = 2 Add '-30' to each side of the equation. 30 + -30 + 28a = 2 + -30 Combine like terms: 30 + -30 = 0 0 + 28a = 2 + -30 28a = 2 + -30 Combine like terms: 2 + -30 = -28 28a = -28 Divide each side by '28'. a = -1 Simplifying a = -1
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