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Simplifying 8(1 + 7a) = 8(-6a + 1) (1 * 8 + 7a * 8) = 8(-6a + 1) (8 + 56a) = 8(-6a + 1) Reorder the terms: 8 + 56a = 8(1 + -6a) 8 + 56a = (1 * 8 + -6a * 8) 8 + 56a = (8 + -48a) Add '-8' to each side of the equation. 8 + -8 + 56a = 8 + -8 + -48a Combine like terms: 8 + -8 = 0 0 + 56a = 8 + -8 + -48a 56a = 8 + -8 + -48a Combine like terms: 8 + -8 = 0 56a = 0 + -48a 56a = -48a Solving 56a = -48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '48a' to each side of the equation. 56a + 48a = -48a + 48a Combine like terms: 56a + 48a = 104a 104a = -48a + 48a Combine like terms: -48a + 48a = 0 104a = 0 Divide each side by '104'. a = 0 Simplifying a = 0
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