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Simplifying a(0.885) + b(0.941) + c = 0.8297 Reorder the terms for easier multiplication: 0.885a + b(0.941) + c = 0.8297 Reorder the terms for easier multiplication: 0.885a + 0.941b + c = 0.8297 Solving 0.885a + 0.941b + c = 0.8297 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.941b' to each side of the equation. 0.885a + 0.941b + -0.941b + c = 0.8297 + -0.941b Combine like terms: 0.941b + -0.941b = 0.000 0.885a + 0.000 + c = 0.8297 + -0.941b 0.885a + c = 0.8297 + -0.941b Add '-1c' to each side of the equation. 0.885a + c + -1c = 0.8297 + -0.941b + -1c Combine like terms: c + -1c = 0 0.885a + 0 = 0.8297 + -0.941b + -1c 0.885a = 0.8297 + -0.941b + -1c Divide each side by '0.885'. a = 0.9375141243 + -1.063276836b + -1.129943503c Simplifying a = 0.9375141243 + -1.063276836b + -1.129943503c
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