0.9x-0.7(6-c)=4.6

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Solution for 0.9x-0.7(6-c)=4.6 equation: 


Simplifying
0.9x + -0.7(6 + -1c) = 4.6
0.9x + (6 * -0.7 + -1c * -0.7) = 4.6
0.9x + (-4.2 + 0.7c) = 4.6

Reorder the terms:
-4.2 + 0.7c + 0.9x = 4.6

Solving
-4.2 + 0.7c + 0.9x = 4.6

Solving for variable 'c'.

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

Add '4.2' to each side of the equation.
-4.2 + 0.7c + 4.2 + 0.9x = 4.6 + 4.2

Reorder the terms:
-4.2 + 4.2 + 0.7c + 0.9x = 4.6 + 4.2

Combine like terms: -4.2 + 4.2 = 0.0
0.0 + 0.7c + 0.9x = 4.6 + 4.2
0.7c + 0.9x = 4.6 + 4.2

Combine like terms: 4.6 + 4.2 = 8.8
0.7c + 0.9x = 8.8

Add '-0.9x' to each side of the equation.
0.7c + 0.9x + -0.9x = 8.8 + -0.9x

Combine like terms: 0.9x + -0.9x = 0.0
0.7c + 0.0 = 8.8 + -0.9x
0.7c = 8.8 + -0.9x

Divide each side by '0.7'.
c = 12.57142857 + -1.285714286x

Simplifying
c = 12.57142857 + -1.285714286x

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