8-(c+7)=6(11-c)

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Solution for 8-(c+7)=6(11-c) equation:


Simplifying
8 + -1(c + 7) = 6(11 + -1c)

Reorder the terms:
8 + -1(7 + c) = 6(11 + -1c)
8 + (7 * -1 + c * -1) = 6(11 + -1c)
8 + (-7 + -1c) = 6(11 + -1c)

Combine like terms: 8 + -7 = 1
1 + -1c = 6(11 + -1c)
1 + -1c = (11 * 6 + -1c * 6)
1 + -1c = (66 + -6c)

Solving
1 + -1c = 66 + -6c

Solving for variable 'c'.

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

Add '6c' to each side of the equation.
1 + -1c + 6c = 66 + -6c + 6c

Combine like terms: -1c + 6c = 5c
1 + 5c = 66 + -6c + 6c

Combine like terms: -6c + 6c = 0
1 + 5c = 66 + 0
1 + 5c = 66

Add '-1' to each side of the equation.
1 + -1 + 5c = 66 + -1

Combine like terms: 1 + -1 = 0
0 + 5c = 66 + -1
5c = 66 + -1

Combine like terms: 66 + -1 = 65
5c = 65

Divide each side by '5'.
c = 13

Simplifying
c = 13

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