27.5-7.5c=8(5c+6)

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Solution for 27.5-7.5c=8(5c+6) equation:


Simplifying
27.5 + -7.5c = 8(5c + 6)

Reorder the terms:
27.5 + -7.5c = 8(6 + 5c)
27.5 + -7.5c = (6 * 8 + 5c * 8)
27.5 + -7.5c = (48 + 40c)

Solving
27.5 + -7.5c = 48 + 40c

Solving for variable 'c'.

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

Add '-40c' to each side of the equation.
27.5 + -7.5c + -40c = 48 + 40c + -40c

Combine like terms: -7.5c + -40c = -47.5c
27.5 + -47.5c = 48 + 40c + -40c

Combine like terms: 40c + -40c = 0
27.5 + -47.5c = 48 + 0
27.5 + -47.5c = 48

Add '-27.5' to each side of the equation.
27.5 + -27.5 + -47.5c = 48 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -47.5c = 48 + -27.5
-47.5c = 48 + -27.5

Combine like terms: 48 + -27.5 = 20.5
-47.5c = 20.5

Divide each side by '-47.5'.
c = -0.4315789474

Simplifying
c = -0.4315789474

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