4(4c-1)-6=13c+2

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Solution for 4(4c-1)-6=13c+2 equation:


Simplifying
4(4c + -1) + -6 = 13c + 2

Reorder the terms:
4(-1 + 4c) + -6 = 13c + 2
(-1 * 4 + 4c * 4) + -6 = 13c + 2
(-4 + 16c) + -6 = 13c + 2

Reorder the terms:
-4 + -6 + 16c = 13c + 2

Combine like terms: -4 + -6 = -10
-10 + 16c = 13c + 2

Reorder the terms:
-10 + 16c = 2 + 13c

Solving
-10 + 16c = 2 + 13c

Solving for variable 'c'.

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

Add '-13c' to each side of the equation.
-10 + 16c + -13c = 2 + 13c + -13c

Combine like terms: 16c + -13c = 3c
-10 + 3c = 2 + 13c + -13c

Combine like terms: 13c + -13c = 0
-10 + 3c = 2 + 0
-10 + 3c = 2

Add '10' to each side of the equation.
-10 + 10 + 3c = 2 + 10

Combine like terms: -10 + 10 = 0
0 + 3c = 2 + 10
3c = 2 + 10

Combine like terms: 2 + 10 = 12
3c = 12

Divide each side by '3'.
c = 4

Simplifying
c = 4

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