2(5c-1)-1=7c+9

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Solution for 2(5c-1)-1=7c+9 equation: 


Simplifying
2(5c + -1) + -1 = 7c + 9

Reorder the terms:
2(-1 + 5c) + -1 = 7c + 9
(-1 * 2 + 5c * 2) + -1 = 7c + 9
(-2 + 10c) + -1 = 7c + 9

Reorder the terms:
-2 + -1 + 10c = 7c + 9

Combine like terms: -2 + -1 = -3
-3 + 10c = 7c + 9

Reorder the terms:
-3 + 10c = 9 + 7c

Solving
-3 + 10c = 9 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
-3 + 10c + -7c = 9 + 7c + -7c

Combine like terms: 10c + -7c = 3c
-3 + 3c = 9 + 7c + -7c

Combine like terms: 7c + -7c = 0
-3 + 3c = 9 + 0
-3 + 3c = 9

Add '3' to each side of the equation.
-3 + 3 + 3c = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 3c = 9 + 3
3c = 9 + 3

Combine like terms: 9 + 3 = 12
3c = 12

Divide each side by '3'.
c = 4

Simplifying
c = 4

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