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Simplifying 5(1 + 7a) = 7a + 5 (1 * 5 + 7a * 5) = 7a + 5 (5 + 35a) = 7a + 5 Reorder the terms: 5 + 35a = 5 + 7a Add '-5' to each side of the equation. 5 + -5 + 35a = 5 + -5 + 7a Combine like terms: 5 + -5 = 0 0 + 35a = 5 + -5 + 7a 35a = 5 + -5 + 7a Combine like terms: 5 + -5 = 0 35a = 0 + 7a 35a = 7a Solving 35a = 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. 35a + -7a = 7a + -7a Combine like terms: 35a + -7a = 28a 28a = 7a + -7a Combine like terms: 7a + -7a = 0 28a = 0 Divide each side by '28'. a = 0 Simplifying a = 0
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