2-.2(-k+1)=3+2(5-k)

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Solution for 2-.2(-k+1)=3+2(5-k) equation: 


Simplifying
2 + -0.2(-1k + 1) = 3 + 2(5 + -1k)

Reorder the terms:
2 + -0.2(1 + -1k) = 3 + 2(5 + -1k)
2 + (1 * -0.2 + -1k * -0.2) = 3 + 2(5 + -1k)
2 + (-0.2 + 0.2k) = 3 + 2(5 + -1k)

Combine like terms: 2 + -0.2 = 1.8
1.8 + 0.2k = 3 + 2(5 + -1k)
1.8 + 0.2k = 3 + (5 * 2 + -1k * 2)
1.8 + 0.2k = 3 + (10 + -2k)

Combine like terms: 3 + 10 = 13
1.8 + 0.2k = 13 + -2k

Solving
1.8 + 0.2k = 13 + -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.
1.8 + 0.2k + 2k = 13 + -2k + 2k

Combine like terms: 0.2k + 2k = 2.2k
1.8 + 2.2k = 13 + -2k + 2k

Combine like terms: -2k + 2k = 0
1.8 + 2.2k = 13 + 0
1.8 + 2.2k = 13

Add '-1.8' to each side of the equation.
1.8 + -1.8 + 2.2k = 13 + -1.8

Combine like terms: 1.8 + -1.8 = 0.0
0.0 + 2.2k = 13 + -1.8
2.2k = 13 + -1.8

Combine like terms: 13 + -1.8 = 11.2
2.2k = 11.2

Divide each side by '2.2'.
k = 5.090909091

Simplifying
k = 5.090909091

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