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Simplifying (2a + -10b + 5c) + (3a + -12b + -8c) = 0 Remove parenthesis around (2a + -10b + 5c) 2a + -10b + 5c + (3a + -12b + -8c) = 0 Remove parenthesis around (3a + -12b + -8c) 2a + -10b + 5c + 3a + -12b + -8c = 0 Reorder the terms: 2a + 3a + -10b + -12b + 5c + -8c = 0 Combine like terms: 2a + 3a = 5a 5a + -10b + -12b + 5c + -8c = 0 Combine like terms: -10b + -12b = -22b 5a + -22b + 5c + -8c = 0 Combine like terms: 5c + -8c = -3c 5a + -22b + -3c = 0 Solving 5a + -22b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '22b' to each side of the equation. 5a + -22b + 22b + -3c = 0 + 22b Combine like terms: -22b + 22b = 0 5a + 0 + -3c = 0 + 22b 5a + -3c = 0 + 22b Remove the zero: 5a + -3c = 22b Add '3c' to each side of the equation. 5a + -3c + 3c = 22b + 3c Combine like terms: -3c + 3c = 0 5a + 0 = 22b + 3c 5a = 22b + 3c Divide each side by '5'. a = 4.4b + 0.6c Simplifying a = 4.4b + 0.6c
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