6(k-2)+2(k-53)=2

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Solution for 6(k-2)+2(k-53)=2 equation: 


Simplifying
6(k + -2) + 2(k + -53) = 2

Reorder the terms:
6(-2 + k) + 2(k + -53) = 2
(-2 * 6 + k * 6) + 2(k + -53) = 2
(-12 + 6k) + 2(k + -53) = 2

Reorder the terms:
-12 + 6k + 2(-53 + k) = 2
-12 + 6k + (-53 * 2 + k * 2) = 2
-12 + 6k + (-106 + 2k) = 2

Reorder the terms:
-12 + -106 + 6k + 2k = 2

Combine like terms: -12 + -106 = -118
-118 + 6k + 2k = 2

Combine like terms: 6k + 2k = 8k
-118 + 8k = 2

Solving
-118 + 8k = 2

Solving for variable 'k'.

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

Add '118' to each side of the equation.
-118 + 118 + 8k = 2 + 118

Combine like terms: -118 + 118 = 0
0 + 8k = 2 + 118
8k = 2 + 118

Combine like terms: 2 + 118 = 120
8k = 120

Divide each side by '8'.
k = 15

Simplifying
k = 15

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