8(5a+7c)-6(2a+4c)=c

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Solution for 8(5a+7c)-6(2a+4c)=c equation:


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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