4(k-5)-3(k+2)-14=-31

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Solution for 4(k-5)-3(k+2)-14=-31 equation: 


Simplifying
4(k + -5) + -3(k + 2) + -14 = -31

Reorder the terms:
4(-5 + k) + -3(k + 2) + -14 = -31
(-5 * 4 + k * 4) + -3(k + 2) + -14 = -31
(-20 + 4k) + -3(k + 2) + -14 = -31

Reorder the terms:
-20 + 4k + -3(2 + k) + -14 = -31
-20 + 4k + (2 * -3 + k * -3) + -14 = -31
-20 + 4k + (-6 + -3k) + -14 = -31

Reorder the terms:
-20 + -6 + -14 + 4k + -3k = -31

Combine like terms: -20 + -6 = -26
-26 + -14 + 4k + -3k = -31

Combine like terms: -26 + -14 = -40
-40 + 4k + -3k = -31

Combine like terms: 4k + -3k = 1k
-40 + 1k = -31

Solving
-40 + 1k = -31

Solving for variable 'k'.

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

Add '40' to each side of the equation.
-40 + 40 + 1k = -31 + 40

Combine like terms: -40 + 40 = 0
0 + 1k = -31 + 40
1k = -31 + 40

Combine like terms: -31 + 40 = 9
1k = 9

Divide each side by '1'.
k = 9

Simplifying
k = 9

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