10(4C-1)-16=38C+10

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Solution for 10(4C-1)-16=38C+10 equation:


Simplifying
10(4C + -1) + -16 = 38C + 10

Reorder the terms:
10(-1 + 4C) + -16 = 38C + 10
(-1 * 10 + 4C * 10) + -16 = 38C + 10
(-10 + 40C) + -16 = 38C + 10

Reorder the terms:
-10 + -16 + 40C = 38C + 10

Combine like terms: -10 + -16 = -26
-26 + 40C = 38C + 10

Reorder the terms:
-26 + 40C = 10 + 38C

Solving
-26 + 40C = 10 + 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.
-26 + 40C + -38C = 10 + 38C + -38C

Combine like terms: 40C + -38C = 2C
-26 + 2C = 10 + 38C + -38C

Combine like terms: 38C + -38C = 0
-26 + 2C = 10 + 0
-26 + 2C = 10

Add '26' to each side of the equation.
-26 + 26 + 2C = 10 + 26

Combine like terms: -26 + 26 = 0
0 + 2C = 10 + 26
2C = 10 + 26

Combine like terms: 10 + 26 = 36
2C = 36

Divide each side by '2'.
C = 18

Simplifying
C = 18

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