16-0.5(c-1)=0.7(8c-1)

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Solution for 16-0.5(c-1)=0.7(8c-1) equation: 


Simplifying
16 + -0.5(c + -1) = 0.7(8c + -1)

Reorder the terms:
16 + -0.5(-1 + c) = 0.7(8c + -1)
16 + (-1 * -0.5 + c * -0.5) = 0.7(8c + -1)
16 + (0.5 + -0.5c) = 0.7(8c + -1)

Combine like terms: 16 + 0.5 = 16.5
16.5 + -0.5c = 0.7(8c + -1)

Reorder the terms:
16.5 + -0.5c = 0.7(-1 + 8c)
16.5 + -0.5c = (-1 * 0.7 + 8c * 0.7)
16.5 + -0.5c = (-0.7 + 5.6c)

Solving
16.5 + -0.5c = -0.7 + 5.6c

Solving for variable 'c'.

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

Add '-5.6c' to each side of the equation.
16.5 + -0.5c + -5.6c = -0.7 + 5.6c + -5.6c

Combine like terms: -0.5c + -5.6c = -6.1c
16.5 + -6.1c = -0.7 + 5.6c + -5.6c

Combine like terms: 5.6c + -5.6c = 0.0
16.5 + -6.1c = -0.7 + 0.0
16.5 + -6.1c = -0.7

Add '-16.5' to each side of the equation.
16.5 + -16.5 + -6.1c = -0.7 + -16.5

Combine like terms: 16.5 + -16.5 = 0.0
0.0 + -6.1c = -0.7 + -16.5
-6.1c = -0.7 + -16.5

Combine like terms: -0.7 + -16.5 = -17.2
-6.1c = -17.2

Divide each side by '-6.1'.
c = 2.819672131

Simplifying
c = 2.819672131

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