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Simplifying 32.75 = 0.585 + a(0.916) Reorder the terms for easier multiplication: 32.75 = 0.585 + 0.916a Solving 32.75 = 0.585 + 0.916a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.916a' to each side of the equation. 32.75 + -0.916a = 0.585 + 0.916a + -0.916a Combine like terms: 0.916a + -0.916a = 0.000 32.75 + -0.916a = 0.585 + 0.000 32.75 + -0.916a = 0.585 Add '-32.75' to each side of the equation. 32.75 + -32.75 + -0.916a = 0.585 + -32.75 Combine like terms: 32.75 + -32.75 = 0.00 0.00 + -0.916a = 0.585 + -32.75 -0.916a = 0.585 + -32.75 Combine like terms: 0.585 + -32.75 = -32.165 -0.916a = -32.165 Divide each side by '-0.916'. a = 35.11462882 Simplifying a = 35.11462882
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