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Simplifying -3b + -2a + -4c + 5b + -8a = 0 Reorder the terms: -2a + -8a + -3b + 5b + -4c = 0 Combine like terms: -2a + -8a = -10a -10a + -3b + 5b + -4c = 0 Combine like terms: -3b + 5b = 2b -10a + 2b + -4c = 0 Solving -10a + 2b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -10a + 2b + -2b + -4c = 0 + -2b Combine like terms: 2b + -2b = 0 -10a + 0 + -4c = 0 + -2b -10a + -4c = 0 + -2b Remove the zero: -10a + -4c = -2b Add '4c' to each side of the equation. -10a + -4c + 4c = -2b + 4c Combine like terms: -4c + 4c = 0 -10a + 0 = -2b + 4c -10a = -2b + 4c Divide each side by '-10'. a = 0.2b + -0.4c Simplifying a = 0.2b + -0.4c
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