4(c-7)+6(c-23)=14

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Solution for 4(c-7)+6(c-23)=14 equation: 


Simplifying
4(c + -7) + 6(c + -23) = 14

Reorder the terms:
4(-7 + c) + 6(c + -23) = 14
(-7 * 4 + c * 4) + 6(c + -23) = 14
(-28 + 4c) + 6(c + -23) = 14

Reorder the terms:
-28 + 4c + 6(-23 + c) = 14
-28 + 4c + (-23 * 6 + c * 6) = 14
-28 + 4c + (-138 + 6c) = 14

Reorder the terms:
-28 + -138 + 4c + 6c = 14

Combine like terms: -28 + -138 = -166
-166 + 4c + 6c = 14

Combine like terms: 4c + 6c = 10c
-166 + 10c = 14

Solving
-166 + 10c = 14

Solving for variable 'c'.

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

Add '166' to each side of the equation.
-166 + 166 + 10c = 14 + 166

Combine like terms: -166 + 166 = 0
0 + 10c = 14 + 166
10c = 14 + 166

Combine like terms: 14 + 166 = 180
10c = 180

Divide each side by '10'.
c = 18

Simplifying
c = 18

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