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

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Solution for 3(k-2)-6=6k-(5k-1) equation:


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

Reorder the terms:
3(-2 + k) + -6 = 6k + -1(5k + -1)
(-2 * 3 + k * 3) + -6 = 6k + -1(5k + -1)
(-6 + 3k) + -6 = 6k + -1(5k + -1)

Reorder the terms:
-6 + -6 + 3k = 6k + -1(5k + -1)

Combine like terms: -6 + -6 = -12
-12 + 3k = 6k + -1(5k + -1)

Reorder the terms:
-12 + 3k = 6k + -1(-1 + 5k)
-12 + 3k = 6k + (-1 * -1 + 5k * -1)
-12 + 3k = 6k + (1 + -5k)

Reorder the terms:
-12 + 3k = 1 + 6k + -5k

Combine like terms: 6k + -5k = 1k
-12 + 3k = 1 + 1k

Solving
-12 + 3k = 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.
-12 + 3k + -1k = 1 + 1k + -1k

Combine like terms: 3k + -1k = 2k
-12 + 2k = 1 + 1k + -1k

Combine like terms: 1k + -1k = 0
-12 + 2k = 1 + 0
-12 + 2k = 1

Add '12' to each side of the equation.
-12 + 12 + 2k = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 2k = 1 + 12
2k = 1 + 12

Combine like terms: 1 + 12 = 13
2k = 13

Divide each side by '2'.
k = 6.5

Simplifying
k = 6.5

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