3(k-5)-2(k+1)-14=-22

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Solution for 3(k-5)-2(k+1)-14=-22 equation: 


Simplifying
3(k + -5) + -2(k + 1) + -14 = -22

Reorder the terms:
3(-5 + k) + -2(k + 1) + -14 = -22
(-5 * 3 + k * 3) + -2(k + 1) + -14 = -22
(-15 + 3k) + -2(k + 1) + -14 = -22

Reorder the terms:
-15 + 3k + -2(1 + k) + -14 = -22
-15 + 3k + (1 * -2 + k * -2) + -14 = -22
-15 + 3k + (-2 + -2k) + -14 = -22

Reorder the terms:
-15 + -2 + -14 + 3k + -2k = -22

Combine like terms: -15 + -2 = -17
-17 + -14 + 3k + -2k = -22

Combine like terms: -17 + -14 = -31
-31 + 3k + -2k = -22

Combine like terms: 3k + -2k = 1k
-31 + 1k = -22

Solving
-31 + 1k = -22

Solving for variable 'k'.

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

Add '31' to each side of the equation.
-31 + 31 + 1k = -22 + 31

Combine like terms: -31 + 31 = 0
0 + 1k = -22 + 31
1k = -22 + 31

Combine like terms: -22 + 31 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9

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