6(c-12)+5(c-13)=6

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Solution for 6(c-12)+5(c-13)=6 equation:


Simplifying
6(c + -12) + 5(c + -13) = 6

Reorder the terms:
6(-12 + c) + 5(c + -13) = 6
(-12 * 6 + c * 6) + 5(c + -13) = 6
(-72 + 6c) + 5(c + -13) = 6

Reorder the terms:
-72 + 6c + 5(-13 + c) = 6
-72 + 6c + (-13 * 5 + c * 5) = 6
-72 + 6c + (-65 + 5c) = 6

Reorder the terms:
-72 + -65 + 6c + 5c = 6

Combine like terms: -72 + -65 = -137
-137 + 6c + 5c = 6

Combine like terms: 6c + 5c = 11c
-137 + 11c = 6

Solving
-137 + 11c = 6

Solving for variable 'c'.

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

Add '137' to each side of the equation.
-137 + 137 + 11c = 6 + 137

Combine like terms: -137 + 137 = 0
0 + 11c = 6 + 137
11c = 6 + 137

Combine like terms: 6 + 137 = 143
11c = 143

Divide each side by '11'.
c = 13

Simplifying
c = 13

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