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Simplifying 5c + 2 + -2a = 7c + -5 + 6 Reorder the terms: 2 + -2a + 5c = 7c + -5 + 6 Reorder the terms: 2 + -2a + 5c = -5 + 6 + 7c Combine like terms: -5 + 6 = 1 2 + -2a + 5c = 1 + 7c Solving 2 + -2a + 5c = 1 + 7c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2a + -2 + 5c = 1 + -2 + 7c Reorder the terms: 2 + -2 + -2a + 5c = 1 + -2 + 7c Combine like terms: 2 + -2 = 0 0 + -2a + 5c = 1 + -2 + 7c -2a + 5c = 1 + -2 + 7c Combine like terms: 1 + -2 = -1 -2a + 5c = -1 + 7c Add '-5c' to each side of the equation. -2a + 5c + -5c = -1 + 7c + -5c Combine like terms: 5c + -5c = 0 -2a + 0 = -1 + 7c + -5c -2a = -1 + 7c + -5c Combine like terms: 7c + -5c = 2c -2a = -1 + 2c Divide each side by '-2'. a = 0.5 + -1c Simplifying a = 0.5 + -1c
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