6(k-14)+2(k-3)=14

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Solution for 6(k-14)+2(k-3)=14 equation: 


Simplifying
6(k + -14) + 2(k + -3) = 14

Reorder the terms:
6(-14 + k) + 2(k + -3) = 14
(-14 * 6 + k * 6) + 2(k + -3) = 14
(-84 + 6k) + 2(k + -3) = 14

Reorder the terms:
-84 + 6k + 2(-3 + k) = 14
-84 + 6k + (-3 * 2 + k * 2) = 14
-84 + 6k + (-6 + 2k) = 14

Reorder the terms:
-84 + -6 + 6k + 2k = 14

Combine like terms: -84 + -6 = -90
-90 + 6k + 2k = 14

Combine like terms: 6k + 2k = 8k
-90 + 8k = 14

Solving
-90 + 8k = 14

Solving for variable 'k'.

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

Add '90' to each side of the equation.
-90 + 90 + 8k = 14 + 90

Combine like terms: -90 + 90 = 0
0 + 8k = 14 + 90
8k = 14 + 90

Combine like terms: 14 + 90 = 104
8k = 104

Divide each side by '8'.
k = 13

Simplifying
k = 13

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