-4[k-9]=-4k+9[k+10]

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Solution for -4[k-9]=-4k+9[k+10] equation: 


Simplifying
-4[k + -9] = -4k + 9[k + 10]

Reorder the terms:
-4[-9 + k] = -4k + 9[k + 10]
[-9 * -4 + k * -4] = -4k + 9[k + 10]
[36 + -4k] = -4k + 9[k + 10]

Reorder the terms:
36 + -4k = -4k + 9[10 + k]
36 + -4k = -4k + [10 * 9 + k * 9]
36 + -4k = -4k + [90 + 9k]

Reorder the terms:
36 + -4k = 90 + -4k + 9k

Combine like terms: -4k + 9k = 5k
36 + -4k = 90 + 5k

Solving
36 + -4k = 90 + 5k

Solving for variable 'k'.

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

Add '-5k' to each side of the equation.
36 + -4k + -5k = 90 + 5k + -5k

Combine like terms: -4k + -5k = -9k
36 + -9k = 90 + 5k + -5k

Combine like terms: 5k + -5k = 0
36 + -9k = 90 + 0
36 + -9k = 90

Add '-36' to each side of the equation.
36 + -36 + -9k = 90 + -36

Combine like terms: 36 + -36 = 0
0 + -9k = 90 + -36
-9k = 90 + -36

Combine like terms: 90 + -36 = 54
-9k = 54

Divide each side by '-9'.
k = -6

Simplifying
k = -6

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