2(9-k)+4=-4(k-2)-5

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Solution for 2(9-k)+4=-4(k-2)-5 equation: 


Simplifying
2(9 + -1k) + 4 = -4(k + -2) + -5
(9 * 2 + -1k * 2) + 4 = -4(k + -2) + -5
(18 + -2k) + 4 = -4(k + -2) + -5

Reorder the terms:
18 + 4 + -2k = -4(k + -2) + -5

Combine like terms: 18 + 4 = 22
22 + -2k = -4(k + -2) + -5

Reorder the terms:
22 + -2k = -4(-2 + k) + -5
22 + -2k = (-2 * -4 + k * -4) + -5
22 + -2k = (8 + -4k) + -5

Reorder the terms:
22 + -2k = 8 + -5 + -4k

Combine like terms: 8 + -5 = 3
22 + -2k = 3 + -4k

Solving
22 + -2k = 3 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
22 + -2k + 4k = 3 + -4k + 4k

Combine like terms: -2k + 4k = 2k
22 + 2k = 3 + -4k + 4k

Combine like terms: -4k + 4k = 0
22 + 2k = 3 + 0
22 + 2k = 3

Add '-22' to each side of the equation.
22 + -22 + 2k = 3 + -22

Combine like terms: 22 + -22 = 0
0 + 2k = 3 + -22
2k = 3 + -22

Combine like terms: 3 + -22 = -19
2k = -19

Divide each side by '2'.
k = -9.5

Simplifying
k = -9.5

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