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Simplifying 5a + -2c + 7 = (6a + -3c + 2) Reorder the terms: 7 + 5a + -2c = (6a + -3c + 2) Reorder the terms: 7 + 5a + -2c = (2 + 6a + -3c) Remove parenthesis around (2 + 6a + -3c) 7 + 5a + -2c = 2 + 6a + -3c Solving 7 + 5a + -2c = 2 + 6a + -3c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7 + 5a + -6a + -2c = 2 + 6a + -6a + -3c Combine like terms: 5a + -6a = -1a 7 + -1a + -2c = 2 + 6a + -6a + -3c Combine like terms: 6a + -6a = 0 7 + -1a + -2c = 2 + 0 + -3c 7 + -1a + -2c = 2 + -3c Add '-7' to each side of the equation. 7 + -1a + -7 + -2c = 2 + -7 + -3c Reorder the terms: 7 + -7 + -1a + -2c = 2 + -7 + -3c Combine like terms: 7 + -7 = 0 0 + -1a + -2c = 2 + -7 + -3c -1a + -2c = 2 + -7 + -3c Combine like terms: 2 + -7 = -5 -1a + -2c = -5 + -3c Add '2c' to each side of the equation. -1a + -2c + 2c = -5 + -3c + 2c Combine like terms: -2c + 2c = 0 -1a + 0 = -5 + -3c + 2c -1a = -5 + -3c + 2c Combine like terms: -3c + 2c = -1c -1a = -5 + -1c Divide each side by '-1'. a = 5 + c Simplifying a = 5 + c
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