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Simplifying 12c + 5a + 7 + (-13) + 4a = 0 12c + 5a + 7 + -13 + 4a = 0 Reorder the terms: 7 + -13 + 5a + 4a + 12c = 0 Combine like terms: 7 + -13 = -6 -6 + 5a + 4a + 12c = 0 Combine like terms: 5a + 4a = 9a -6 + 9a + 12c = 0 Solving -6 + 9a + 12c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 9a + 6 + 12c = 0 + 6 Reorder the terms: -6 + 6 + 9a + 12c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 9a + 12c = 0 + 6 9a + 12c = 0 + 6 Combine like terms: 0 + 6 = 6 9a + 12c = 6 Add '-12c' to each side of the equation. 9a + 12c + -12c = 6 + -12c Combine like terms: 12c + -12c = 0 9a + 0 = 6 + -12c 9a = 6 + -12c Divide each side by '9'. a = 0.6666666667 + -1.333333333c Simplifying a = 0.6666666667 + -1.333333333c
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