7(7c-1)-2=47c+7

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Solution for 7(7c-1)-2=47c+7 equation:


Simplifying
7(7c + -1) + -2 = 47c + 7

Reorder the terms:
7(-1 + 7c) + -2 = 47c + 7
(-1 * 7 + 7c * 7) + -2 = 47c + 7
(-7 + 49c) + -2 = 47c + 7

Reorder the terms:
-7 + -2 + 49c = 47c + 7

Combine like terms: -7 + -2 = -9
-9 + 49c = 47c + 7

Reorder the terms:
-9 + 49c = 7 + 47c

Solving
-9 + 49c = 7 + 47c

Solving for variable 'c'.

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

Add '-47c' to each side of the equation.
-9 + 49c + -47c = 7 + 47c + -47c

Combine like terms: 49c + -47c = 2c
-9 + 2c = 7 + 47c + -47c

Combine like terms: 47c + -47c = 0
-9 + 2c = 7 + 0
-9 + 2c = 7

Add '9' to each side of the equation.
-9 + 9 + 2c = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 2c = 7 + 9
2c = 7 + 9

Combine like terms: 7 + 9 = 16
2c = 16

Divide each side by '2'.
c = 8

Simplifying
c = 8

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