11-0.4(c-7)=0.5(c-7)

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Solution for 11-0.4(c-7)=0.5(c-7) equation: 


Simplifying
11 + -0.4(c + -7) = 0.5(c + -7)

Reorder the terms:
11 + -0.4(-7 + c) = 0.5(c + -7)
11 + (-7 * -0.4 + c * -0.4) = 0.5(c + -7)
11 + (2.8 + -0.4c) = 0.5(c + -7)

Combine like terms: 11 + 2.8 = 13.8
13.8 + -0.4c = 0.5(c + -7)

Reorder the terms:
13.8 + -0.4c = 0.5(-7 + c)
13.8 + -0.4c = (-7 * 0.5 + c * 0.5)
13.8 + -0.4c = (-3.5 + 0.5c)

Solving
13.8 + -0.4c = -3.5 + 0.5c

Solving for variable 'c'.

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

Add '-0.5c' to each side of the equation.
13.8 + -0.4c + -0.5c = -3.5 + 0.5c + -0.5c

Combine like terms: -0.4c + -0.5c = -0.9c
13.8 + -0.9c = -3.5 + 0.5c + -0.5c

Combine like terms: 0.5c + -0.5c = 0.0
13.8 + -0.9c = -3.5 + 0.0
13.8 + -0.9c = -3.5

Add '-13.8' to each side of the equation.
13.8 + -13.8 + -0.9c = -3.5 + -13.8

Combine like terms: 13.8 + -13.8 = 0.0
0.0 + -0.9c = -3.5 + -13.8
-0.9c = -3.5 + -13.8

Combine like terms: -3.5 + -13.8 = -17.3
-0.9c = -17.3

Divide each side by '-0.9'.
c = 19.22222222

Simplifying
c = 19.22222222

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