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Simplifying 35(0.25) + 14a + 5b = 49.5 Multiply 35 * 0.25 8.75 + 14a + 5b = 49.5 Solving 8.75 + 14a + 5b = 49.5 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.75' to each side of the equation. 8.75 + 14a + -8.75 + 5b = 49.5 + -8.75 Reorder the terms: 8.75 + -8.75 + 14a + 5b = 49.5 + -8.75 Combine like terms: 8.75 + -8.75 = 0.00 0.00 + 14a + 5b = 49.5 + -8.75 14a + 5b = 49.5 + -8.75 Combine like terms: 49.5 + -8.75 = 40.75 14a + 5b = 40.75 Add '-5b' to each side of the equation. 14a + 5b + -5b = 40.75 + -5b Combine like terms: 5b + -5b = 0 14a + 0 = 40.75 + -5b 14a = 40.75 + -5b Divide each side by '14'. a = 2.910714286 + -0.3571428571b Simplifying a = 2.910714286 + -0.3571428571b
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