4(1+k)=2k+8

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Solution for 4(1+k)=2k+8 equation: 


Simplifying
4(1 + k) = 2k + 8
(1 * 4 + k * 4) = 2k + 8
(4 + 4k) = 2k + 8

Reorder the terms:
4 + 4k = 8 + 2k

Solving
4 + 4k = 8 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
4 + 4k + -2k = 8 + 2k + -2k

Combine like terms: 4k + -2k = 2k
4 + 2k = 8 + 2k + -2k

Combine like terms: 2k + -2k = 0
4 + 2k = 8 + 0
4 + 2k = 8

Add '-4' to each side of the equation.
4 + -4 + 2k = 8 + -4

Combine like terms: 4 + -4 = 0
0 + 2k = 8 + -4
2k = 8 + -4

Combine like terms: 8 + -4 = 4
2k = 4

Divide each side by '2'.
k = 2

Simplifying
k = 2

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