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Simplifying 0.916 = a(-1.39) + a(1.699) Reorder the terms for easier multiplication: 0.916 = -1.39a + a(1.699) Reorder the terms for easier multiplication: 0.916 = -1.39a + 1.699a Combine like terms: -1.39a + 1.699a = 0.309a 0.916 = 0.309a Solving 0.916 = 0.309a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.309a' to each side of the equation. 0.916 + -0.309a = 0.309a + -0.309a Combine like terms: 0.309a + -0.309a = 0.000 0.916 + -0.309a = 0.000 Add '-0.916' to each side of the equation. 0.916 + -0.916 + -0.309a = 0.000 + -0.916 Combine like terms: 0.916 + -0.916 = 0.000 0.000 + -0.309a = 0.000 + -0.916 -0.309a = 0.000 + -0.916 Combine like terms: 0.000 + -0.916 = -0.916 -0.309a = -0.916 Divide each side by '-0.309'. a = 2.964401294 Simplifying a = 2.964401294
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