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Simplifying 8(5a + 7c) + -6(2a + 4c) = c (5a * 8 + 7c * 8) + -6(2a + 4c) = c (40a + 56c) + -6(2a + 4c) = c 40a + 56c + (2a * -6 + 4c * -6) = c 40a + 56c + (-12a + -24c) = c Reorder the terms: 40a + -12a + 56c + -24c = c Combine like terms: 40a + -12a = 28a 28a + 56c + -24c = c Combine like terms: 56c + -24c = 32c 28a + 32c = c Solving 28a + 32c = c Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32c' to each side of the equation. 28a + 32c + -32c = c + -32c Combine like terms: 32c + -32c = 0 28a + 0 = c + -32c 28a = c + -32c Combine like terms: c + -32c = -31c 28a = -31c Divide each side by '28'. a = -1.107142857c Simplifying a = -1.107142857c
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