7(8cx+y)=55cx-2y

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Solution for 7(8cx+y)=55cx-2y equation:


Simplifying
7(8cx + y) = 55cx + -2y
(8cx * 7 + y * 7) = 55cx + -2y
(56cx + 7y) = 55cx + -2y

Solving
56cx + 7y = 55cx + -2y

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-55cx' to each side of the equation.
56cx + -55cx + 7y = 55cx + -55cx + -2y

Combine like terms: 56cx + -55cx = 1cx
1cx + 7y = 55cx + -55cx + -2y

Combine like terms: 55cx + -55cx = 0
1cx + 7y = 0 + -2y
1cx + 7y = -2y

Add '-7y' to each side of the equation.
1cx + 7y + -7y = -2y + -7y

Combine like terms: 7y + -7y = 0
1cx + 0 = -2y + -7y
1cx = -2y + -7y

Combine like terms: -2y + -7y = -9y
1cx = -9y

Divide each side by '1x'.
c = -9x-1y

Simplifying
c = -9x-1y

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