6(k-2)-5=5k-(4k-1)

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Solution for 6(k-2)-5=5k-(4k-1) equation:


Simplifying
6(k + -2) + -5 = 5k + -1(4k + -1)

Reorder the terms:
6(-2 + k) + -5 = 5k + -1(4k + -1)
(-2 * 6 + k * 6) + -5 = 5k + -1(4k + -1)
(-12 + 6k) + -5 = 5k + -1(4k + -1)

Reorder the terms:
-12 + -5 + 6k = 5k + -1(4k + -1)

Combine like terms: -12 + -5 = -17
-17 + 6k = 5k + -1(4k + -1)

Reorder the terms:
-17 + 6k = 5k + -1(-1 + 4k)
-17 + 6k = 5k + (-1 * -1 + 4k * -1)
-17 + 6k = 5k + (1 + -4k)

Reorder the terms:
-17 + 6k = 1 + 5k + -4k

Combine like terms: 5k + -4k = 1k
-17 + 6k = 1 + 1k

Solving
-17 + 6k = 1 + 1k

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.
-17 + 6k + -1k = 1 + 1k + -1k

Combine like terms: 6k + -1k = 5k
-17 + 5k = 1 + 1k + -1k

Combine like terms: 1k + -1k = 0
-17 + 5k = 1 + 0
-17 + 5k = 1

Add '17' to each side of the equation.
-17 + 17 + 5k = 1 + 17

Combine like terms: -17 + 17 = 0
0 + 5k = 1 + 17
5k = 1 + 17

Combine like terms: 1 + 17 = 18
5k = 18

Divide each side by '5'.
k = 3.6

Simplifying
k = 3.6

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