6k-(2k+2)-8+8(2k+2)=10

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Solution for 6k-(2k+2)-8+8(2k+2)=10 equation:


Simplifying
6k + -1(2k + 2) + -8 + 8(2k + 2) = 10

Reorder the terms:
6k + -1(2 + 2k) + -8 + 8(2k + 2) = 10
6k + (2 * -1 + 2k * -1) + -8 + 8(2k + 2) = 10
6k + (-2 + -2k) + -8 + 8(2k + 2) = 10

Reorder the terms:
6k + -2 + -2k + -8 + 8(2 + 2k) = 10
6k + -2 + -2k + -8 + (2 * 8 + 2k * 8) = 10
6k + -2 + -2k + -8 + (16 + 16k) = 10

Reorder the terms:
-2 + -8 + 16 + 6k + -2k + 16k = 10

Combine like terms: -2 + -8 = -10
-10 + 16 + 6k + -2k + 16k = 10

Combine like terms: -10 + 16 = 6
6 + 6k + -2k + 16k = 10

Combine like terms: 6k + -2k = 4k
6 + 4k + 16k = 10

Combine like terms: 4k + 16k = 20k
6 + 20k = 10

Solving
6 + 20k = 10

Solving for variable 'k'.

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

Add '-6' to each side of the equation.
6 + -6 + 20k = 10 + -6

Combine like terms: 6 + -6 = 0
0 + 20k = 10 + -6
20k = 10 + -6

Combine like terms: 10 + -6 = 4
20k = 4

Divide each side by '20'.
k = 0.2

Simplifying
k = 0.2

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