9(c-4)=8(5+c)

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Solution for 9(c-4)=8(5+c) equation: 


Simplifying
9(c + -4) = 8(5 + c)

Reorder the terms:
9(-4 + c) = 8(5 + c)
(-4 * 9 + c * 9) = 8(5 + c)
(-36 + 9c) = 8(5 + c)
-36 + 9c = (5 * 8 + c * 8)
-36 + 9c = (40 + 8c)

Solving
-36 + 9c = 40 + 8c

Solving for variable 'c'.

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

Add '-8c' to each side of the equation.
-36 + 9c + -8c = 40 + 8c + -8c

Combine like terms: 9c + -8c = 1c
-36 + 1c = 40 + 8c + -8c

Combine like terms: 8c + -8c = 0
-36 + 1c = 40 + 0
-36 + 1c = 40

Add '36' to each side of the equation.
-36 + 36 + 1c = 40 + 36

Combine like terms: -36 + 36 = 0
0 + 1c = 40 + 36
1c = 40 + 36

Combine like terms: 40 + 36 = 76
1c = 76

Divide each side by '1'.
c = 76

Simplifying
c = 76

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