3(7c+1)-26=17c+5

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Solution for 3(7c+1)-26=17c+5 equation:


Simplifying
3(7c + 1) + -26 = 17c + 5

Reorder the terms:
3(1 + 7c) + -26 = 17c + 5
(1 * 3 + 7c * 3) + -26 = 17c + 5
(3 + 21c) + -26 = 17c + 5

Reorder the terms:
3 + -26 + 21c = 17c + 5

Combine like terms: 3 + -26 = -23
-23 + 21c = 17c + 5

Reorder the terms:
-23 + 21c = 5 + 17c

Solving
-23 + 21c = 5 + 17c

Solving for variable 'c'.

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

Add '-17c' to each side of the equation.
-23 + 21c + -17c = 5 + 17c + -17c

Combine like terms: 21c + -17c = 4c
-23 + 4c = 5 + 17c + -17c

Combine like terms: 17c + -17c = 0
-23 + 4c = 5 + 0
-23 + 4c = 5

Add '23' to each side of the equation.
-23 + 23 + 4c = 5 + 23

Combine like terms: -23 + 23 = 0
0 + 4c = 5 + 23
4c = 5 + 23

Combine like terms: 5 + 23 = 28
4c = 28

Divide each side by '4'.
c = 7

Simplifying
c = 7

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