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Simplifying -7(1 + -8a) + 5a = -7 + 5a (1 * -7 + -8a * -7) + 5a = -7 + 5a (-7 + 56a) + 5a = -7 + 5a Combine like terms: 56a + 5a = 61a -7 + 61a = -7 + 5a Add '7' to each side of the equation. -7 + 7 + 61a = -7 + 7 + 5a Combine like terms: -7 + 7 = 0 0 + 61a = -7 + 7 + 5a 61a = -7 + 7 + 5a Combine like terms: -7 + 7 = 0 61a = 0 + 5a 61a = 5a Solving 61a = 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 61a + -5a = 5a + -5a Combine like terms: 61a + -5a = 56a 56a = 5a + -5a Combine like terms: 5a + -5a = 0 56a = 0 Divide each side by '56'. a = 0 Simplifying a = 0
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