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Simplifying 3(a + c) = 4b + 30 (a * 3 + c * 3) = 4b + 30 (3a + 3c) = 4b + 30 Reorder the terms: 3a + 3c = 30 + 4b Solving 3a + 3c = 30 + 4b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3c' to each side of the equation. 3a + 3c + -3c = 30 + 4b + -3c Combine like terms: 3c + -3c = 0 3a + 0 = 30 + 4b + -3c 3a = 30 + 4b + -3c Divide each side by '3'. a = 10 + 1.333333333b + -1c Simplifying a = 10 + 1.333333333b + -1c
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