2(k+1)=4k-10

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Solution for 2(k+1)=4k-10 equation: 


Simplifying
2(k + 1) = 4k + -10

Reorder the terms:
2(1 + k) = 4k + -10
(1 * 2 + k * 2) = 4k + -10
(2 + 2k) = 4k + -10

Reorder the terms:
2 + 2k = -10 + 4k

Solving
2 + 2k = -10 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
2 + 2k + -4k = -10 + 4k + -4k

Combine like terms: 2k + -4k = -2k
2 + -2k = -10 + 4k + -4k

Combine like terms: 4k + -4k = 0
2 + -2k = -10 + 0
2 + -2k = -10

Add '-2' to each side of the equation.
2 + -2 + -2k = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -2k = -10 + -2
-2k = -10 + -2

Combine like terms: -10 + -2 = -12
-2k = -12

Divide each side by '-2'.
k = 6

Simplifying
k = 6

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