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Simplifying 10 = a(81) + -8 Reorder the terms for easier multiplication: 10 = 81a + -8 Reorder the terms: 10 = -8 + 81a Solving 10 = -8 + 81a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-81a' to each side of the equation. 10 + -81a = -8 + 81a + -81a Combine like terms: 81a + -81a = 0 10 + -81a = -8 + 0 10 + -81a = -8 Add '-10' to each side of the equation. 10 + -10 + -81a = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -81a = -8 + -10 -81a = -8 + -10 Combine like terms: -8 + -10 = -18 -81a = -18 Divide each side by '-81'. a = 0.2222222222 Simplifying a = 0.2222222222
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