6(5c-1)-4=28c+6

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Solution for 6(5c-1)-4=28c+6 equation:


Simplifying
6(5c + -1) + -4 = 28c + 6

Reorder the terms:
6(-1 + 5c) + -4 = 28c + 6
(-1 * 6 + 5c * 6) + -4 = 28c + 6
(-6 + 30c) + -4 = 28c + 6

Reorder the terms:
-6 + -4 + 30c = 28c + 6

Combine like terms: -6 + -4 = -10
-10 + 30c = 28c + 6

Reorder the terms:
-10 + 30c = 6 + 28c

Solving
-10 + 30c = 6 + 28c

Solving for variable 'c'.

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

Add '-28c' to each side of the equation.
-10 + 30c + -28c = 6 + 28c + -28c

Combine like terms: 30c + -28c = 2c
-10 + 2c = 6 + 28c + -28c

Combine like terms: 28c + -28c = 0
-10 + 2c = 6 + 0
-10 + 2c = 6

Add '10' to each side of the equation.
-10 + 10 + 2c = 6 + 10

Combine like terms: -10 + 10 = 0
0 + 2c = 6 + 10
2c = 6 + 10

Combine like terms: 6 + 10 = 16
2c = 16

Divide each side by '2'.
c = 8

Simplifying
c = 8

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