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Simplifying 3a + 12 + -1c + 4 = 78 Reorder the terms: 12 + 4 + 3a + -1c = 78 Combine like terms: 12 + 4 = 16 16 + 3a + -1c = 78 Solving 16 + 3a + -1c = 78 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 3a + -16 + -1c = 78 + -16 Reorder the terms: 16 + -16 + 3a + -1c = 78 + -16 Combine like terms: 16 + -16 = 0 0 + 3a + -1c = 78 + -16 3a + -1c = 78 + -16 Combine like terms: 78 + -16 = 62 3a + -1c = 62 Add 'c' to each side of the equation. 3a + -1c + c = 62 + c Combine like terms: -1c + c = 0 3a + 0 = 62 + c 3a = 62 + c Divide each side by '3'. a = 20.66666667 + 0.3333333333c Simplifying a = 20.66666667 + 0.3333333333c
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