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Simplifying 5a + -2c + 2a = 7a + -1c Reorder the terms: 5a + 2a + -2c = 7a + -1c Combine like terms: 5a + 2a = 7a 7a + -2c = 7a + -1c Add '-7a' to each side of the equation. 7a + -7a + -2c = 7a + -7a + -1c Combine like terms: 7a + -7a = 0 0 + -2c = 7a + -7a + -1c -2c = 7a + -7a + -1c Combine like terms: 7a + -7a = 0 -2c = 0 + -1c -2c = -1c Solving -2c = -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -2c + c = -1c + c Combine like terms: -2c + c = -1c -1c = -1c + c Combine like terms: -1c + c = 0 -1c = 0 Divide each side by '-1'. c = 0 Simplifying c = 0
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