2(1+3k)+2=1+5k

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Solution for 2(1+3k)+2=1+5k equation:


Simplifying
2(1 + 3k) + 2 = 1 + 5k
(1 * 2 + 3k * 2) + 2 = 1 + 5k
(2 + 6k) + 2 = 1 + 5k

Reorder the terms:
2 + 2 + 6k = 1 + 5k

Combine like terms: 2 + 2 = 4
4 + 6k = 1 + 5k

Solving
4 + 6k = 1 + 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 + 6k + -5k = 1 + 5k + -5k

Combine like terms: 6k + -5k = 1k
4 + 1k = 1 + 5k + -5k

Combine like terms: 5k + -5k = 0
4 + 1k = 1 + 0
4 + 1k = 1

Add '-4' to each side of the equation.
4 + -4 + 1k = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 1k = 1 + -4
1k = 1 + -4

Combine like terms: 1 + -4 = -3
1k = -3

Divide each side by '1'.
k = -3

Simplifying
k = -3

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