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Simplifying 5a + 10b + -12c + 10 = 0 Reorder the terms: 10 + 5a + 10b + -12c = 0 Solving 10 + 5a + 10b + -12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5a + 10b + -10 + -12c = 0 + -10 Reorder the terms: 10 + -10 + 5a + 10b + -12c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5a + 10b + -12c = 0 + -10 5a + 10b + -12c = 0 + -10 Combine like terms: 0 + -10 = -10 5a + 10b + -12c = -10 Add '-10b' to each side of the equation. 5a + 10b + -10b + -12c = -10 + -10b Combine like terms: 10b + -10b = 0 5a + 0 + -12c = -10 + -10b 5a + -12c = -10 + -10b Add '12c' to each side of the equation. 5a + -12c + 12c = -10 + -10b + 12c Combine like terms: -12c + 12c = 0 5a + 0 = -10 + -10b + 12c 5a = -10 + -10b + 12c Divide each side by '5'. a = -2 + -2b + 2.4c Simplifying a = -2 + -2b + 2.4c
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