4(k-1)-2(3k+2)+14=0

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Solution for 4(k-1)-2(3k+2)+14=0 equation:


Simplifying
4(k + -1) + -2(3k + 2) + 14 = 0

Reorder the terms:
4(-1 + k) + -2(3k + 2) + 14 = 0
(-1 * 4 + k * 4) + -2(3k + 2) + 14 = 0
(-4 + 4k) + -2(3k + 2) + 14 = 0

Reorder the terms:
-4 + 4k + -2(2 + 3k) + 14 = 0
-4 + 4k + (2 * -2 + 3k * -2) + 14 = 0
-4 + 4k + (-4 + -6k) + 14 = 0

Reorder the terms:
-4 + -4 + 14 + 4k + -6k = 0

Combine like terms: -4 + -4 = -8
-8 + 14 + 4k + -6k = 0

Combine like terms: -8 + 14 = 6
6 + 4k + -6k = 0

Combine like terms: 4k + -6k = -2k
6 + -2k = 0

Solving
6 + -2k = 0

Solving for variable 'k'.

Move all terms containing k to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + -2k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -2k = 0 + -6
-2k = 0 + -6

Combine like terms: 0 + -6 = -6
-2k = -6

Divide each side by '-2'.
k = 3

Simplifying
k = 3

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