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Simplifying 5a + -2b + 6c = 3a + 30 Reorder the terms: 5a + -2b + 6c = 30 + 3a Solving 5a + -2b + 6c = 30 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 5a + -2b + -3a + 6c = 30 + 3a + -3a Reorder the terms: 5a + -3a + -2b + 6c = 30 + 3a + -3a Combine like terms: 5a + -3a = 2a 2a + -2b + 6c = 30 + 3a + -3a Combine like terms: 3a + -3a = 0 2a + -2b + 6c = 30 + 0 2a + -2b + 6c = 30 Add '2b' to each side of the equation. 2a + -2b + 2b + 6c = 30 + 2b Combine like terms: -2b + 2b = 0 2a + 0 + 6c = 30 + 2b 2a + 6c = 30 + 2b Add '-6c' to each side of the equation. 2a + 6c + -6c = 30 + 2b + -6c Combine like terms: 6c + -6c = 0 2a + 0 = 30 + 2b + -6c 2a = 30 + 2b + -6c Divide each side by '2'. a = 15 + b + -3c Simplifying a = 15 + b + -3c
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