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Simplifying -5b + -6b + 10a + -2a + 6c + -1c = 0 Reorder the terms: 10a + -2a + -5b + -6b + 6c + -1c = 0 Combine like terms: 10a + -2a = 8a 8a + -5b + -6b + 6c + -1c = 0 Combine like terms: -5b + -6b = -11b 8a + -11b + 6c + -1c = 0 Combine like terms: 6c + -1c = 5c 8a + -11b + 5c = 0 Solving 8a + -11b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11b' to each side of the equation. 8a + -11b + 11b + 5c = 0 + 11b Combine like terms: -11b + 11b = 0 8a + 0 + 5c = 0 + 11b 8a + 5c = 0 + 11b Remove the zero: 8a + 5c = 11b Add '-5c' to each side of the equation. 8a + 5c + -5c = 11b + -5c Combine like terms: 5c + -5c = 0 8a + 0 = 11b + -5c 8a = 11b + -5c Divide each side by '8'. a = 1.375b + -0.625c Simplifying a = 1.375b + -0.625c
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