1.3[1-2k]+3=2[k-1]

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Solution for 1.3[1-2k]+3=2[k-1] equation: 


Simplifying
1.3[1 + -2k] + 3 = 2[k + -1]
[1 * 1.3 + -2k * 1.3] + 3 = 2[k + -1]
[1.3 + -2.6k] + 3 = 2[k + -1]

Reorder the terms:
1.3 + 3 + -2.6k = 2[k + -1]

Combine like terms: 1.3 + 3 = 4.3
4.3 + -2.6k = 2[k + -1]

Reorder the terms:
4.3 + -2.6k = 2[-1 + k]
4.3 + -2.6k = [-1 * 2 + k * 2]
4.3 + -2.6k = [-2 + 2k]

Solving
4.3 + -2.6k = -2 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
4.3 + -2.6k + -2k = -2 + 2k + -2k

Combine like terms: -2.6k + -2k = -4.6k
4.3 + -4.6k = -2 + 2k + -2k

Combine like terms: 2k + -2k = 0
4.3 + -4.6k = -2 + 0
4.3 + -4.6k = -2

Add '-4.3' to each side of the equation.
4.3 + -4.3 + -4.6k = -2 + -4.3

Combine like terms: 4.3 + -4.3 = 0.0
0.0 + -4.6k = -2 + -4.3
-4.6k = -2 + -4.3

Combine like terms: -2 + -4.3 = -6.3
-4.6k = -6.3

Divide each side by '-4.6'.
k = 1.369565217

Simplifying
k = 1.369565217

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