-2(k-2)-2=8k-38

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Solution for -2(k-2)-2=8k-38 equation:


Simplifying
-2(k + -2) + -2 = 8k + -38

Reorder the terms:
-2(-2 + k) + -2 = 8k + -38
(-2 * -2 + k * -2) + -2 = 8k + -38
(4 + -2k) + -2 = 8k + -38

Reorder the terms:
4 + -2 + -2k = 8k + -38

Combine like terms: 4 + -2 = 2
2 + -2k = 8k + -38

Reorder the terms:
2 + -2k = -38 + 8k

Solving
2 + -2k = -38 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
2 + -2k + -8k = -38 + 8k + -8k

Combine like terms: -2k + -8k = -10k
2 + -10k = -38 + 8k + -8k

Combine like terms: 8k + -8k = 0
2 + -10k = -38 + 0
2 + -10k = -38

Add '-2' to each side of the equation.
2 + -2 + -10k = -38 + -2

Combine like terms: 2 + -2 = 0
0 + -10k = -38 + -2
-10k = -38 + -2

Combine like terms: -38 + -2 = -40
-10k = -40

Divide each side by '-10'.
k = 4

Simplifying
k = 4

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