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Simplifying (-1a + 5c) + (-7a + 2c + 3) = 0 Remove parenthesis around (-1a + 5c) -1a + 5c + (-7a + 2c + 3) = 0 Reorder the terms: -1a + 5c + (3 + -7a + 2c) = 0 Remove parenthesis around (3 + -7a + 2c) -1a + 5c + 3 + -7a + 2c = 0 Reorder the terms: 3 + -1a + -7a + 5c + 2c = 0 Combine like terms: -1a + -7a = -8a 3 + -8a + 5c + 2c = 0 Combine like terms: 5c + 2c = 7c 3 + -8a + 7c = 0 Solving 3 + -8a + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -8a + -3 + 7c = 0 + -3 Reorder the terms: 3 + -3 + -8a + 7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8a + 7c = 0 + -3 -8a + 7c = 0 + -3 Combine like terms: 0 + -3 = -3 -8a + 7c = -3 Add '-7c' to each side of the equation. -8a + 7c + -7c = -3 + -7c Combine like terms: 7c + -7c = 0 -8a + 0 = -3 + -7c -8a = -3 + -7c Divide each side by '-8'. a = 0.375 + 0.875c Simplifying a = 0.375 + 0.875c
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