5(k-4)-4(k+1)-14=-30

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Solution for 5(k-4)-4(k+1)-14=-30 equation: 


Simplifying
5(k + -4) + -4(k + 1) + -14 = -30

Reorder the terms:
5(-4 + k) + -4(k + 1) + -14 = -30
(-4 * 5 + k * 5) + -4(k + 1) + -14 = -30
(-20 + 5k) + -4(k + 1) + -14 = -30

Reorder the terms:
-20 + 5k + -4(1 + k) + -14 = -30
-20 + 5k + (1 * -4 + k * -4) + -14 = -30
-20 + 5k + (-4 + -4k) + -14 = -30

Reorder the terms:
-20 + -4 + -14 + 5k + -4k = -30

Combine like terms: -20 + -4 = -24
-24 + -14 + 5k + -4k = -30

Combine like terms: -24 + -14 = -38
-38 + 5k + -4k = -30

Combine like terms: 5k + -4k = 1k
-38 + 1k = -30

Solving
-38 + 1k = -30

Solving for variable 'k'.

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

Add '38' to each side of the equation.
-38 + 38 + 1k = -30 + 38

Combine like terms: -38 + 38 = 0
0 + 1k = -30 + 38
1k = -30 + 38

Combine like terms: -30 + 38 = 8
1k = 8

Divide each side by '1'.
k = 8

Simplifying
k = 8

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