6k-(4k+2)-8+8(2k+2)=0

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Solution for 6k-(4k+2)-8+8(2k+2)=0 equation:


Simplifying
6k + -1(4k + 2) + -8 + 8(2k + 2) = 0

Reorder the terms:
6k + -1(2 + 4k) + -8 + 8(2k + 2) = 0
6k + (2 * -1 + 4k * -1) + -8 + 8(2k + 2) = 0
6k + (-2 + -4k) + -8 + 8(2k + 2) = 0

Reorder the terms:
6k + -2 + -4k + -8 + 8(2 + 2k) = 0
6k + -2 + -4k + -8 + (2 * 8 + 2k * 8) = 0
6k + -2 + -4k + -8 + (16 + 16k) = 0

Reorder the terms:
-2 + -8 + 16 + 6k + -4k + 16k = 0

Combine like terms: -2 + -8 = -10
-10 + 16 + 6k + -4k + 16k = 0

Combine like terms: -10 + 16 = 6
6 + 6k + -4k + 16k = 0

Combine like terms: 6k + -4k = 2k
6 + 2k + 16k = 0

Combine like terms: 2k + 16k = 18k
6 + 18k = 0

Solving
6 + 18k = 0

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 + 18k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 18k = 0 + -6
18k = 0 + -6

Combine like terms: 0 + -6 = -6
18k = -6

Divide each side by '18'.
k = -0.3333333333

Simplifying
k = -0.3333333333

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