4(k-5)-3(k+1)-14=-31

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Solution for 4(k-5)-3(k+1)-14=-31 equation: 


Simplifying
4(k + -5) + -3(k + 1) + -14 = -31

Reorder the terms:
4(-5 + k) + -3(k + 1) + -14 = -31
(-5 * 4 + k * 4) + -3(k + 1) + -14 = -31
(-20 + 4k) + -3(k + 1) + -14 = -31

Reorder the terms:
-20 + 4k + -3(1 + k) + -14 = -31
-20 + 4k + (1 * -3 + k * -3) + -14 = -31
-20 + 4k + (-3 + -3k) + -14 = -31

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

Combine like terms: -20 + -3 = -23
-23 + -14 + 4k + -3k = -31

Combine like terms: -23 + -14 = -37
-37 + 4k + -3k = -31

Combine like terms: 4k + -3k = 1k
-37 + 1k = -31

Solving
-37 + 1k = -31

Solving for variable 'k'.

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

Add '37' to each side of the equation.
-37 + 37 + 1k = -31 + 37

Combine like terms: -37 + 37 = 0
0 + 1k = -31 + 37
1k = -31 + 37

Combine like terms: -31 + 37 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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