4(4-c)=3(5-c)+4

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


Simplifying
4(4 + -1c) = 3(5 + -1c) + 4
(4 * 4 + -1c * 4) = 3(5 + -1c) + 4
(16 + -4c) = 3(5 + -1c) + 4
16 + -4c = (5 * 3 + -1c * 3) + 4
16 + -4c = (15 + -3c) + 4

Reorder the terms:
16 + -4c = 15 + 4 + -3c

Combine like terms: 15 + 4 = 19
16 + -4c = 19 + -3c

Solving
16 + -4c = 19 + -3c

Solving for variable 'c'.

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

Add '3c' to each side of the equation.
16 + -4c + 3c = 19 + -3c + 3c

Combine like terms: -4c + 3c = -1c
16 + -1c = 19 + -3c + 3c

Combine like terms: -3c + 3c = 0
16 + -1c = 19 + 0
16 + -1c = 19

Add '-16' to each side of the equation.
16 + -16 + -1c = 19 + -16

Combine like terms: 16 + -16 = 0
0 + -1c = 19 + -16
-1c = 19 + -16

Combine like terms: 19 + -16 = 3
-1c = 3

Divide each side by '-1'.
c = -3

Simplifying
c = -3

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