3(k-4)-2(k+1)-14=-20

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Solution for 3(k-4)-2(k+1)-14=-20 equation: 


Simplifying
3(k + -4) + -2(k + 1) + -14 = -20

Reorder the terms:
3(-4 + k) + -2(k + 1) + -14 = -20
(-4 * 3 + k * 3) + -2(k + 1) + -14 = -20
(-12 + 3k) + -2(k + 1) + -14 = -20

Reorder the terms:
-12 + 3k + -2(1 + k) + -14 = -20
-12 + 3k + (1 * -2 + k * -2) + -14 = -20
-12 + 3k + (-2 + -2k) + -14 = -20

Reorder the terms:
-12 + -2 + -14 + 3k + -2k = -20

Combine like terms: -12 + -2 = -14
-14 + -14 + 3k + -2k = -20

Combine like terms: -14 + -14 = -28
-28 + 3k + -2k = -20

Combine like terms: 3k + -2k = 1k
-28 + 1k = -20

Solving
-28 + 1k = -20

Solving for variable 'k'.

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

Add '28' to each side of the equation.
-28 + 28 + 1k = -20 + 28

Combine like terms: -28 + 28 = 0
0 + 1k = -20 + 28
1k = -20 + 28

Combine like terms: -20 + 28 = 8
1k = 8

Divide each side by '1'.
k = 8

Simplifying
k = 8

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