2+2(1+k)=5(k+8)

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Solution for 2+2(1+k)=5(k+8) equation: 


Simplifying
2 + 2(1 + k) = 5(k + 8)
2 + (1 * 2 + k * 2) = 5(k + 8)
2 + (2 + 2k) = 5(k + 8)

Combine like terms: 2 + 2 = 4
4 + 2k = 5(k + 8)

Reorder the terms:
4 + 2k = 5(8 + k)
4 + 2k = (8 * 5 + k * 5)
4 + 2k = (40 + 5k)

Solving
4 + 2k = 40 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
4 + 2k + -5k = 40 + 5k + -5k

Combine like terms: 2k + -5k = -3k
4 + -3k = 40 + 5k + -5k

Combine like terms: 5k + -5k = 0
4 + -3k = 40 + 0
4 + -3k = 40

Add '-4' to each side of the equation.
4 + -4 + -3k = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -3k = 40 + -4
-3k = 40 + -4

Combine like terms: 40 + -4 = 36
-3k = 36

Divide each side by '-3'.
k = -12

Simplifying
k = -12

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