4(4.1c-0.875)=6(1.8c+1.75)

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Solution for 4(4.1c-0.875)=6(1.8c+1.75) equation: 


Simplifying
4(4.1c + -0.875) = 6(1.8c + 1.75)

Reorder the terms:
4(-0.875 + 4.1c) = 6(1.8c + 1.75)
(-0.875 * 4 + 4.1c * 4) = 6(1.8c + 1.75)
(-3.5 + 16.4c) = 6(1.8c + 1.75)

Reorder the terms:
-3.5 + 16.4c = 6(1.75 + 1.8c)
-3.5 + 16.4c = (1.75 * 6 + 1.8c * 6)
-3.5 + 16.4c = (10.5 + 10.8c)

Solving
-3.5 + 16.4c = 10.5 + 10.8c

Solving for variable 'c'.

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

Add '-10.8c' to each side of the equation.
-3.5 + 16.4c + -10.8c = 10.5 + 10.8c + -10.8c

Combine like terms: 16.4c + -10.8c = 5.6c
-3.5 + 5.6c = 10.5 + 10.8c + -10.8c

Combine like terms: 10.8c + -10.8c = 0.0
-3.5 + 5.6c = 10.5 + 0.0
-3.5 + 5.6c = 10.5

Add '3.5' to each side of the equation.
-3.5 + 3.5 + 5.6c = 10.5 + 3.5

Combine like terms: -3.5 + 3.5 = 0.0
0.0 + 5.6c = 10.5 + 3.5
5.6c = 10.5 + 3.5

Combine like terms: 10.5 + 3.5 = 14
5.6c = 14

Divide each side by '5.6'.
c = 2.5

Simplifying
c = 2.5

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