8(5c+1)-18=38c+8

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Solution for 8(5c+1)-18=38c+8 equation:


Simplifying
8(5c + 1) + -18 = 38c + 8

Reorder the terms:
8(1 + 5c) + -18 = 38c + 8
(1 * 8 + 5c * 8) + -18 = 38c + 8
(8 + 40c) + -18 = 38c + 8

Reorder the terms:
8 + -18 + 40c = 38c + 8

Combine like terms: 8 + -18 = -10
-10 + 40c = 38c + 8

Reorder the terms:
-10 + 40c = 8 + 38c

Solving
-10 + 40c = 8 + 38c

Solving for variable 'c'.

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

Add '-38c' to each side of the equation.
-10 + 40c + -38c = 8 + 38c + -38c

Combine like terms: 40c + -38c = 2c
-10 + 2c = 8 + 38c + -38c

Combine like terms: 38c + -38c = 0
-10 + 2c = 8 + 0
-10 + 2c = 8

Add '10' to each side of the equation.
-10 + 10 + 2c = 8 + 10

Combine like terms: -10 + 10 = 0
0 + 2c = 8 + 10
2c = 8 + 10

Combine like terms: 8 + 10 = 18
2c = 18

Divide each side by '2'.
c = 9

Simplifying
c = 9

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