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Simplifying 5a + 10b + 1c = 0 Solving 5a + 10b + 1c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10b' to each side of the equation. 5a + 10b + -10b + 1c = 0 + -10b Combine like terms: 10b + -10b = 0 5a + 0 + 1c = 0 + -10b 5a + 1c = 0 + -10b Remove the zero: 5a + 1c = -10b Add '-1c' to each side of the equation. 5a + 1c + -1c = -10b + -1c Combine like terms: 1c + -1c = 0 5a + 0 = -10b + -1c 5a = -10b + -1c Divide each side by '5'. a = -2b + -0.2c Simplifying a = -2b + -0.2c
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