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Simplifying (4a + -5b + 5c) + (6a + -7b + 8c) = 0 Remove parenthesis around (4a + -5b + 5c) 4a + -5b + 5c + (6a + -7b + 8c) = 0 Remove parenthesis around (6a + -7b + 8c) 4a + -5b + 5c + 6a + -7b + 8c = 0 Reorder the terms: 4a + 6a + -5b + -7b + 5c + 8c = 0 Combine like terms: 4a + 6a = 10a 10a + -5b + -7b + 5c + 8c = 0 Combine like terms: -5b + -7b = -12b 10a + -12b + 5c + 8c = 0 Combine like terms: 5c + 8c = 13c 10a + -12b + 13c = 0 Solving 10a + -12b + 13c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 10a + -12b + 12b + 13c = 0 + 12b Combine like terms: -12b + 12b = 0 10a + 0 + 13c = 0 + 12b 10a + 13c = 0 + 12b Remove the zero: 10a + 13c = 12b Add '-13c' to each side of the equation. 10a + 13c + -13c = 12b + -13c Combine like terms: 13c + -13c = 0 10a + 0 = 12b + -13c 10a = 12b + -13c Divide each side by '10'. a = 1.2b + -1.3c Simplifying a = 1.2b + -1.3c
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