3c-7(-c+4)=-2(c-5)+6c

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Solution for 3c-7(-c+4)=-2(c-5)+6c equation:


Simplifying
3c + -7(-1c + 4) = -2(c + -5) + 6c

Reorder the terms:
3c + -7(4 + -1c) = -2(c + -5) + 6c
3c + (4 * -7 + -1c * -7) = -2(c + -5) + 6c
3c + (-28 + 7c) = -2(c + -5) + 6c

Reorder the terms:
-28 + 3c + 7c = -2(c + -5) + 6c

Combine like terms: 3c + 7c = 10c
-28 + 10c = -2(c + -5) + 6c

Reorder the terms:
-28 + 10c = -2(-5 + c) + 6c
-28 + 10c = (-5 * -2 + c * -2) + 6c
-28 + 10c = (10 + -2c) + 6c

Combine like terms: -2c + 6c = 4c
-28 + 10c = 10 + 4c

Solving
-28 + 10c = 10 + 4c

Solving for variable 'c'.

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

Add '-4c' to each side of the equation.
-28 + 10c + -4c = 10 + 4c + -4c

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

Combine like terms: 4c + -4c = 0
-28 + 6c = 10 + 0
-28 + 6c = 10

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

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

Combine like terms: 10 + 28 = 38
6c = 38

Divide each side by '6'.
c = 6.333333333

Simplifying
c = 6.333333333

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