8+2k=1+3(k+2)

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Solution for 8+2k=1+3(k+2) equation: 


Simplifying
8 + 2k = 1 + 3(k + 2)

Reorder the terms:
8 + 2k = 1 + 3(2 + k)
8 + 2k = 1 + (2 * 3 + k * 3)
8 + 2k = 1 + (6 + 3k)

Combine like terms: 1 + 6 = 7
8 + 2k = 7 + 3k

Solving
8 + 2k = 7 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
8 + 2k + -3k = 7 + 3k + -3k

Combine like terms: 2k + -3k = -1k
8 + -1k = 7 + 3k + -3k

Combine like terms: 3k + -3k = 0
8 + -1k = 7 + 0
8 + -1k = 7

Add '-8' to each side of the equation.
8 + -8 + -1k = 7 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 7 + -8
-1k = 7 + -8

Combine like terms: 7 + -8 = -1
-1k = -1

Divide each side by '-1'.
k = 1

Simplifying
k = 1

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