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Simplifying 4a + 2c + 1b = 100 Reorder the terms: 4a + 1b + 2c = 100 Solving 4a + 1b + 2c = 100 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. 4a + 1b + -1b + 2c = 100 + -1b Combine like terms: 1b + -1b = 0 4a + 0 + 2c = 100 + -1b 4a + 2c = 100 + -1b Add '-2c' to each side of the equation. 4a + 2c + -2c = 100 + -1b + -2c Combine like terms: 2c + -2c = 0 4a + 0 = 100 + -1b + -2c 4a = 100 + -1b + -2c Divide each side by '4'. a = 25 + -0.25b + -0.5c Simplifying a = 25 + -0.25b + -0.5c
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