6(k-2)-7=4k-(3k-1)

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Solution for 6(k-2)-7=4k-(3k-1) equation:


Simplifying
6(k + -2) + -7 = 4k + -1(3k + -1)

Reorder the terms:
6(-2 + k) + -7 = 4k + -1(3k + -1)
(-2 * 6 + k * 6) + -7 = 4k + -1(3k + -1)
(-12 + 6k) + -7 = 4k + -1(3k + -1)

Reorder the terms:
-12 + -7 + 6k = 4k + -1(3k + -1)

Combine like terms: -12 + -7 = -19
-19 + 6k = 4k + -1(3k + -1)

Reorder the terms:
-19 + 6k = 4k + -1(-1 + 3k)
-19 + 6k = 4k + (-1 * -1 + 3k * -1)
-19 + 6k = 4k + (1 + -3k)

Reorder the terms:
-19 + 6k = 1 + 4k + -3k

Combine like terms: 4k + -3k = 1k
-19 + 6k = 1 + 1k

Solving
-19 + 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.
-19 + 6k + -1k = 1 + 1k + -1k

Combine like terms: 6k + -1k = 5k
-19 + 5k = 1 + 1k + -1k

Combine like terms: 1k + -1k = 0
-19 + 5k = 1 + 0
-19 + 5k = 1

Add '19' to each side of the equation.
-19 + 19 + 5k = 1 + 19

Combine like terms: -19 + 19 = 0
0 + 5k = 1 + 19
5k = 1 + 19

Combine like terms: 1 + 19 = 20
5k = 20

Divide each side by '5'.
k = 4

Simplifying
k = 4

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