2(k+1)=6k-46

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Solution for 2(k+1)=6k-46 equation: 


Simplifying
2(k + 1) = 6k + -46

Reorder the terms:
2(1 + k) = 6k + -46
(1 * 2 + k * 2) = 6k + -46
(2 + 2k) = 6k + -46

Reorder the terms:
2 + 2k = -46 + 6k

Solving
2 + 2k = -46 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
2 + 2k + -6k = -46 + 6k + -6k

Combine like terms: 2k + -6k = -4k
2 + -4k = -46 + 6k + -6k

Combine like terms: 6k + -6k = 0
2 + -4k = -46 + 0
2 + -4k = -46

Add '-2' to each side of the equation.
2 + -2 + -4k = -46 + -2

Combine like terms: 2 + -2 = 0
0 + -4k = -46 + -2
-4k = -46 + -2

Combine like terms: -46 + -2 = -48
-4k = -48

Divide each side by '-4'.
k = 12

Simplifying
k = 12

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