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Simplifying 4(a + 2b) + 5c = 0 (a * 4 + 2b * 4) + 5c = 0 (4a + 8b) + 5c = 0 Solving 4a + 8b + 5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8b' to each side of the equation. 4a + 8b + -8b + 5c = 0 + -8b Combine like terms: 8b + -8b = 0 4a + 0 + 5c = 0 + -8b 4a + 5c = 0 + -8b Remove the zero: 4a + 5c = -8b Add '-5c' to each side of the equation. 4a + 5c + -5c = -8b + -5c Combine like terms: 5c + -5c = 0 4a + 0 = -8b + -5c 4a = -8b + -5c Divide each side by '4'. a = -2b + -1.25c Simplifying a = -2b + -1.25c
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