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Simplifying 455 = 7(1 + -8a) 455 = (1 * 7 + -8a * 7) 455 = (7 + -56a) Solving 455 = 7 + -56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '56a' to each side of the equation. 455 + 56a = 7 + -56a + 56a Combine like terms: -56a + 56a = 0 455 + 56a = 7 + 0 455 + 56a = 7 Add '-455' to each side of the equation. 455 + -455 + 56a = 7 + -455 Combine like terms: 455 + -455 = 0 0 + 56a = 7 + -455 56a = 7 + -455 Combine like terms: 7 + -455 = -448 56a = -448 Divide each side by '56'. a = -8 Simplifying a = -8
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