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Simplifying 5a + 3b + 7c + 12 = 0 Reorder the terms: 12 + 5a + 3b + 7c = 0 Solving 12 + 5a + 3b + 7c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 5a + 3b + -12 + 7c = 0 + -12 Reorder the terms: 12 + -12 + 5a + 3b + 7c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5a + 3b + 7c = 0 + -12 5a + 3b + 7c = 0 + -12 Combine like terms: 0 + -12 = -12 5a + 3b + 7c = -12 Add '-3b' to each side of the equation. 5a + 3b + -3b + 7c = -12 + -3b Combine like terms: 3b + -3b = 0 5a + 0 + 7c = -12 + -3b 5a + 7c = -12 + -3b Add '-7c' to each side of the equation. 5a + 7c + -7c = -12 + -3b + -7c Combine like terms: 7c + -7c = 0 5a + 0 = -12 + -3b + -7c 5a = -12 + -3b + -7c Divide each side by '5'. a = -2.4 + -0.6b + -1.4c Simplifying a = -2.4 + -0.6b + -1.4c
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