3(c-7)=4(c-8)

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Solution for 3(c-7)=4(c-8) equation: 


Simplifying
3(c + -7) = 4(c + -8)

Reorder the terms:
3(-7 + c) = 4(c + -8)
(-7 * 3 + c * 3) = 4(c + -8)
(-21 + 3c) = 4(c + -8)

Reorder the terms:
-21 + 3c = 4(-8 + c)
-21 + 3c = (-8 * 4 + c * 4)
-21 + 3c = (-32 + 4c)

Solving
-21 + 3c = -32 + 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.
-21 + 3c + -4c = -32 + 4c + -4c

Combine like terms: 3c + -4c = -1c
-21 + -1c = -32 + 4c + -4c

Combine like terms: 4c + -4c = 0
-21 + -1c = -32 + 0
-21 + -1c = -32

Add '21' to each side of the equation.
-21 + 21 + -1c = -32 + 21

Combine like terms: -21 + 21 = 0
0 + -1c = -32 + 21
-1c = -32 + 21

Combine like terms: -32 + 21 = -11
-1c = -11

Divide each side by '-1'.
c = 11

Simplifying
c = 11

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