5(4+k)+2(8-7k)=-36

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Solution for 5(4+k)+2(8-7k)=-36 equation: 


Simplifying
5(4 + k) + 2(8 + -7k) = -36
(4 * 5 + k * 5) + 2(8 + -7k) = -36
(20 + 5k) + 2(8 + -7k) = -36
20 + 5k + (8 * 2 + -7k * 2) = -36
20 + 5k + (16 + -14k) = -36

Reorder the terms:
20 + 16 + 5k + -14k = -36

Combine like terms: 20 + 16 = 36
36 + 5k + -14k = -36

Combine like terms: 5k + -14k = -9k
36 + -9k = -36

Solving
36 + -9k = -36

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 + -9k = -36 + -36

Combine like terms: 36 + -36 = 0
0 + -9k = -36 + -36
-9k = -36 + -36

Combine like terms: -36 + -36 = -72
-9k = -72

Divide each side by '-9'.
k = 8

Simplifying
k = 8

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