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

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


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

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

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

Combine like terms: -12 + -7 = -19
-19 + 6k = 4k + -1(3k + -2)

Reorder the terms:
-19 + 6k = 4k + -1(-2 + 3k)
-19 + 6k = 4k + (-2 * -1 + 3k * -1)
-19 + 6k = 4k + (2 + -3k)

Reorder the terms:
-19 + 6k = 2 + 4k + -3k

Combine like terms: 4k + -3k = 1k
-19 + 6k = 2 + 1k

Solving
-19 + 6k = 2 + 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 = 2 + 1k + -1k

Combine like terms: 6k + -1k = 5k
-19 + 5k = 2 + 1k + -1k

Combine like terms: 1k + -1k = 0
-19 + 5k = 2 + 0
-19 + 5k = 2

Add '19' to each side of the equation.
-19 + 19 + 5k = 2 + 19

Combine like terms: -19 + 19 = 0
0 + 5k = 2 + 19
5k = 2 + 19

Combine like terms: 2 + 19 = 21
5k = 21

Divide each side by '5'.
k = 4.2

Simplifying
k = 4.2

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