2(k-3)+14=2k+4+k

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Solution for 2(k-3)+14=2k+4+k equation: 


Simplifying
2(k + -3) + 14 = 2k + 4 + k

Reorder the terms:
2(-3 + k) + 14 = 2k + 4 + k
(-3 * 2 + k * 2) + 14 = 2k + 4 + k
(-6 + 2k) + 14 = 2k + 4 + k

Reorder the terms:
-6 + 14 + 2k = 2k + 4 + k

Combine like terms: -6 + 14 = 8
8 + 2k = 2k + 4 + k

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

Combine like terms: 2k + k = 3k
8 + 2k = 4 + 3k

Solving
8 + 2k = 4 + 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 = 4 + 3k + -3k

Combine like terms: 2k + -3k = -1k
8 + -1k = 4 + 3k + -3k

Combine like terms: 3k + -3k = 0
8 + -1k = 4 + 0
8 + -1k = 4

Add '-8' to each side of the equation.
8 + -8 + -1k = 4 + -8

Combine like terms: 8 + -8 = 0
0 + -1k = 4 + -8
-1k = 4 + -8

Combine like terms: 4 + -8 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4

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