4(k-4)-3(k+2)-14=-30

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Solution for 4(k-4)-3(k+2)-14=-30 equation: 


Simplifying
4(k + -4) + -3(k + 2) + -14 = -30

Reorder the terms:
4(-4 + k) + -3(k + 2) + -14 = -30
(-4 * 4 + k * 4) + -3(k + 2) + -14 = -30
(-16 + 4k) + -3(k + 2) + -14 = -30

Reorder the terms:
-16 + 4k + -3(2 + k) + -14 = -30
-16 + 4k + (2 * -3 + k * -3) + -14 = -30
-16 + 4k + (-6 + -3k) + -14 = -30

Reorder the terms:
-16 + -6 + -14 + 4k + -3k = -30

Combine like terms: -16 + -6 = -22
-22 + -14 + 4k + -3k = -30

Combine like terms: -22 + -14 = -36
-36 + 4k + -3k = -30

Combine like terms: 4k + -3k = 1k
-36 + 1k = -30

Solving
-36 + 1k = -30

Solving for variable 'k'.

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

Add '36' to each side of the equation.
-36 + 36 + 1k = -30 + 36

Combine like terms: -36 + 36 = 0
0 + 1k = -30 + 36
1k = -30 + 36

Combine like terms: -30 + 36 = 6
1k = 6

Divide each side by '1'.
k = 6

Simplifying
k = 6

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