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Simplifying 812(a + 1) = 9 + a Reorder the terms: 812(1 + a) = 9 + a (1 * 812 + a * 812) = 9 + a (812 + 812a) = 9 + a Solving 812 + 812a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 812 + 812a + -1a = 9 + a + -1a Combine like terms: 812a + -1a = 811a 812 + 811a = 9 + a + -1a Combine like terms: a + -1a = 0 812 + 811a = 9 + 0 812 + 811a = 9 Add '-812' to each side of the equation. 812 + -812 + 811a = 9 + -812 Combine like terms: 812 + -812 = 0 0 + 811a = 9 + -812 811a = 9 + -812 Combine like terms: 9 + -812 = -803 811a = -803 Divide each side by '811'. a = -0.990135635 Simplifying a = -0.990135635
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