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Simplifying 6a + 3c + -7 = 44 Reorder the terms: -7 + 6a + 3c = 44 Solving -7 + 6a + 3c = 44 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 6a + 7 + 3c = 44 + 7 Reorder the terms: -7 + 7 + 6a + 3c = 44 + 7 Combine like terms: -7 + 7 = 0 0 + 6a + 3c = 44 + 7 6a + 3c = 44 + 7 Combine like terms: 44 + 7 = 51 6a + 3c = 51 Add '-3c' to each side of the equation. 6a + 3c + -3c = 51 + -3c Combine like terms: 3c + -3c = 0 6a + 0 = 51 + -3c 6a = 51 + -3c Divide each side by '6'. a = 8.5 + -0.5c Simplifying a = 8.5 + -0.5c
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