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Simplifying 4a + 2c = 5a + 3c + 20 Reorder the terms: 4a + 2c = 20 + 5a + 3c Solving 4a + 2c = 20 + 5a + 3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 4a + -5a + 2c = 20 + 5a + -5a + 3c Combine like terms: 4a + -5a = -1a -1a + 2c = 20 + 5a + -5a + 3c Combine like terms: 5a + -5a = 0 -1a + 2c = 20 + 0 + 3c -1a + 2c = 20 + 3c Add '-2c' to each side of the equation. -1a + 2c + -2c = 20 + 3c + -2c Combine like terms: 2c + -2c = 0 -1a + 0 = 20 + 3c + -2c -1a = 20 + 3c + -2c Combine like terms: 3c + -2c = 1c -1a = 20 + 1c Divide each side by '-1'. a = -20 + -1c Simplifying a = -20 + -1c
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