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Simplifying a + 2a + 3c + 5 + c = 0 Reorder the terms: 5 + a + 2a + 3c + c = 0 Combine like terms: a + 2a = 3a 5 + 3a + 3c + c = 0 Combine like terms: 3c + c = 4c 5 + 3a + 4c = 0 Solving 5 + 3a + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 3a + -5 + 4c = 0 + -5 Reorder the terms: 5 + -5 + 3a + 4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3a + 4c = 0 + -5 3a + 4c = 0 + -5 Combine like terms: 0 + -5 = -5 3a + 4c = -5 Add '-4c' to each side of the equation. 3a + 4c + -4c = -5 + -4c Combine like terms: 4c + -4c = 0 3a + 0 = -5 + -4c 3a = -5 + -4c Divide each side by '3'. a = -1.666666667 + -1.333333333c Simplifying a = -1.666666667 + -1.333333333c
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