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Simplifying 1 = 8(a + 8) + 1 Reorder the terms: 1 = 8(8 + a) + 1 1 = (8 * 8 + a * 8) + 1 1 = (64 + 8a) + 1 Reorder the terms: 1 = 64 + 1 + 8a Combine like terms: 64 + 1 = 65 1 = 65 + 8a Solving 1 = 65 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 1 + -8a = 65 + 8a + -8a Combine like terms: 8a + -8a = 0 1 + -8a = 65 + 0 1 + -8a = 65 Add '-1' to each side of the equation. 1 + -1 + -8a = 65 + -1 Combine like terms: 1 + -1 = 0 0 + -8a = 65 + -1 -8a = 65 + -1 Combine like terms: 65 + -1 = 64 -8a = 64 Divide each side by '-8'. a = -8 Simplifying a = -8
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