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Simplifying -5a + 3b + -2a + 3c + -4b + 10a + 5c = 0 Reorder the terms: -5a + -2a + 10a + 3b + -4b + 3c + 5c = 0 Combine like terms: -5a + -2a = -7a -7a + 10a + 3b + -4b + 3c + 5c = 0 Combine like terms: -7a + 10a = 3a 3a + 3b + -4b + 3c + 5c = 0 Combine like terms: 3b + -4b = -1b 3a + -1b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c 3a + -1b + 8c = 0 Solving 3a + -1b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. 3a + -1b + b + 8c = 0 + b Combine like terms: -1b + b = 0 3a + 0 + 8c = 0 + b 3a + 8c = 0 + b Remove the zero: 3a + 8c = b Add '-8c' to each side of the equation. 3a + 8c + -8c = b + -8c Combine like terms: 8c + -8c = 0 3a + 0 = b + -8c 3a = b + -8c Divide each side by '3'. a = 0.3333333333b + -2.666666667c Simplifying a = 0.3333333333b + -2.666666667c
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