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

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


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

Reorder the terms:
4(-2 + k) + -6 = 3k + -1(2k + -3)
(-2 * 4 + k * 4) + -6 = 3k + -1(2k + -3)
(-8 + 4k) + -6 = 3k + -1(2k + -3)

Reorder the terms:
-8 + -6 + 4k = 3k + -1(2k + -3)

Combine like terms: -8 + -6 = -14
-14 + 4k = 3k + -1(2k + -3)

Reorder the terms:
-14 + 4k = 3k + -1(-3 + 2k)
-14 + 4k = 3k + (-3 * -1 + 2k * -1)
-14 + 4k = 3k + (3 + -2k)

Reorder the terms:
-14 + 4k = 3 + 3k + -2k

Combine like terms: 3k + -2k = 1k
-14 + 4k = 3 + 1k

Solving
-14 + 4k = 3 + 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.
-14 + 4k + -1k = 3 + 1k + -1k

Combine like terms: 4k + -1k = 3k
-14 + 3k = 3 + 1k + -1k

Combine like terms: 1k + -1k = 0
-14 + 3k = 3 + 0
-14 + 3k = 3

Add '14' to each side of the equation.
-14 + 14 + 3k = 3 + 14

Combine like terms: -14 + 14 = 0
0 + 3k = 3 + 14
3k = 3 + 14

Combine like terms: 3 + 14 = 17
3k = 17

Divide each side by '3'.
k = 5.666666667

Simplifying
k = 5.666666667

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