-2[11+2(k-4)-3k+1]=k-4

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Solution for -2[11+2(k-4)-3k+1]=k-4 equation:


Simplifying
-2[11 + 2(k + -4) + -3k + 1] = k + -4

Reorder the terms:
-2[11 + 2(-4 + k) + -3k + 1] = k + -4
-2[11 + (-4 * 2 + k * 2) + -3k + 1] = k + -4
-2[11 + (-8 + 2k) + -3k + 1] = k + -4

Reorder the terms:
-2[11 + -8 + 1 + 2k + -3k] = k + -4

Combine like terms: 11 + -8 = 3
-2[3 + 1 + 2k + -3k] = k + -4

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

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

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

Solving
-8 + 2k = -4 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-8 + 2k + -1k = -4 + k + -1k

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

Combine like terms: k + -1k = 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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