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Simplifying 10a + 15b + 8 + -2a + -4b + 5c = 0 Reorder the terms: 8 + 10a + -2a + 15b + -4b + 5c = 0 Combine like terms: 10a + -2a = 8a 8 + 8a + 15b + -4b + 5c = 0 Combine like terms: 15b + -4b = 11b 8 + 8a + 11b + 5c = 0 Solving 8 + 8a + 11b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 8a + 11b + -8 + 5c = 0 + -8 Reorder the terms: 8 + -8 + 8a + 11b + 5c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8a + 11b + 5c = 0 + -8 8a + 11b + 5c = 0 + -8 Combine like terms: 0 + -8 = -8 8a + 11b + 5c = -8 Add '-11b' to each side of the equation. 8a + 11b + -11b + 5c = -8 + -11b Combine like terms: 11b + -11b = 0 8a + 0 + 5c = -8 + -11b 8a + 5c = -8 + -11b Add '-5c' to each side of the equation. 8a + 5c + -5c = -8 + -11b + -5c Combine like terms: 5c + -5c = 0 8a + 0 = -8 + -11b + -5c 8a = -8 + -11b + -5c Divide each side by '8'. a = -1 + -1.375b + -0.625c Simplifying a = -1 + -1.375b + -0.625c
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