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

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


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

Reorder the terms:
8(2 + k) + -1(5 + 2k) = 5k
(2 * 8 + k * 8) + -1(5 + 2k) = 5k
(16 + 8k) + -1(5 + 2k) = 5k
16 + 8k + (5 * -1 + 2k * -1) = 5k
16 + 8k + (-5 + -2k) = 5k

Reorder the terms:
16 + -5 + 8k + -2k = 5k

Combine like terms: 16 + -5 = 11
11 + 8k + -2k = 5k

Combine like terms: 8k + -2k = 6k
11 + 6k = 5k

Solving
11 + 6k = 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.
11 + 6k + -5k = 5k + -5k

Combine like terms: 6k + -5k = 1k
11 + 1k = 5k + -5k

Combine like terms: 5k + -5k = 0
11 + 1k = 0

Add '-11' to each side of the equation.
11 + -11 + 1k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 1k = 0 + -11
1k = 0 + -11

Combine like terms: 0 + -11 = -11
1k = -11

Divide each side by '1'.
k = -11

Simplifying
k = -11

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