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

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


Simplifying
4c + -3(c + -7) = 3 + 2c

Reorder the terms:
4c + -3(-7 + c) = 3 + 2c
4c + (-7 * -3 + c * -3) = 3 + 2c
4c + (21 + -3c) = 3 + 2c

Reorder the terms:
21 + 4c + -3c = 3 + 2c

Combine like terms: 4c + -3c = 1c
21 + 1c = 3 + 2c

Solving
21 + 1c = 3 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
21 + 1c + -2c = 3 + 2c + -2c

Combine like terms: 1c + -2c = -1c
21 + -1c = 3 + 2c + -2c

Combine like terms: 2c + -2c = 0
21 + -1c = 3 + 0
21 + -1c = 3

Add '-21' to each side of the equation.
21 + -21 + -1c = 3 + -21

Combine like terms: 21 + -21 = 0
0 + -1c = 3 + -21
-1c = 3 + -21

Combine like terms: 3 + -21 = -18
-1c = -18

Divide each side by '-1'.
c = 18

Simplifying
c = 18

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