5(k+2)-8k=-34

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Solution for 5(k+2)-8k=-34 equation: 


Simplifying
5(k + 2) + -8k = -34

Reorder the terms:
5(2 + k) + -8k = -34
(2 * 5 + k * 5) + -8k = -34
(10 + 5k) + -8k = -34

Combine like terms: 5k + -8k = -3k
10 + -3k = -34

Solving
10 + -3k = -34

Solving for variable 'k'.

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

Add '-10' to each side of the equation.
10 + -10 + -3k = -34 + -10

Combine like terms: 10 + -10 = 0
0 + -3k = -34 + -10
-3k = -34 + -10

Combine like terms: -34 + -10 = -44
-3k = -44

Divide each side by '-3'.
k = 14.66666667

Simplifying
k = 14.66666667

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