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Simplifying (9a + -5b + 10c) + (-8a + 12b + -10c) = 0 Remove parenthesis around (9a + -5b + 10c) 9a + -5b + 10c + (-8a + 12b + -10c) = 0 Remove parenthesis around (-8a + 12b + -10c) 9a + -5b + 10c + -8a + 12b + -10c = 0 Reorder the terms: 9a + -8a + -5b + 12b + 10c + -10c = 0 Combine like terms: 9a + -8a = 1a 1a + -5b + 12b + 10c + -10c = 0 Combine like terms: -5b + 12b = 7b 1a + 7b + 10c + -10c = 0 Combine like terms: 10c + -10c = 0 1a + 7b + 0 = 0 1a + 7b = 0 Solving 1a + 7b = 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. 1a + 7b + -7b = 0 + -7b Combine like terms: 7b + -7b = 0 1a + 0 = 0 + -7b 1a = 0 + -7b Remove the zero: 1a = -7b Divide each side by '1'. a = -7b Simplifying a = -7b
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