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Simplifying (4a + 7b + -8c) + (-7a + 5c) = 0 Remove parenthesis around (4a + 7b + -8c) 4a + 7b + -8c + (-7a + 5c) = 0 Remove parenthesis around (-7a + 5c) 4a + 7b + -8c + -7a + 5c = 0 Reorder the terms: 4a + -7a + 7b + -8c + 5c = 0 Combine like terms: 4a + -7a = -3a -3a + 7b + -8c + 5c = 0 Combine like terms: -8c + 5c = -3c -3a + 7b + -3c = 0 Solving -3a + 7b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -3a + 7b + -7b + -3c = 0 + -7b Combine like terms: 7b + -7b = 0 -3a + 0 + -3c = 0 + -7b -3a + -3c = 0 + -7b Remove the zero: -3a + -3c = -7b Add '3c' to each side of the equation. -3a + -3c + 3c = -7b + 3c Combine like terms: -3c + 3c = 0 -3a + 0 = -7b + 3c -3a = -7b + 3c Divide each side by '-3'. a = 2.333333333b + -1c Simplifying a = 2.333333333b + -1c
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