8(5+c)=7(6+c)

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Solution for 8(5+c)=7(6+c) equation: 


Simplifying
8(5 + c) = 7(6 + c)
(5 * 8 + c * 8) = 7(6 + c)
(40 + 8c) = 7(6 + c)
40 + 8c = (6 * 7 + c * 7)
40 + 8c = (42 + 7c)

Solving
40 + 8c = 42 + 7c

Solving for variable 'c'.

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

Add '-7c' to each side of the equation.
40 + 8c + -7c = 42 + 7c + -7c

Combine like terms: 8c + -7c = 1c
40 + 1c = 42 + 7c + -7c

Combine like terms: 7c + -7c = 0
40 + 1c = 42 + 0
40 + 1c = 42

Add '-40' to each side of the equation.
40 + -40 + 1c = 42 + -40

Combine like terms: 40 + -40 = 0
0 + 1c = 42 + -40
1c = 42 + -40

Combine like terms: 42 + -40 = 2
1c = 2

Divide each side by '1'.
c = 2

Simplifying
c = 2

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