34+5k=-4+2(1+7k)

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Solution for 34+5k=-4+2(1+7k) equation: 


Simplifying
34 + 5k = -4 + 2(1 + 7k)
34 + 5k = -4 + (1 * 2 + 7k * 2)
34 + 5k = -4 + (2 + 14k)

Combine like terms: -4 + 2 = -2
34 + 5k = -2 + 14k

Solving
34 + 5k = -2 + 14k

Solving for variable 'k'.

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

Add '-14k' to each side of the equation.
34 + 5k + -14k = -2 + 14k + -14k

Combine like terms: 5k + -14k = -9k
34 + -9k = -2 + 14k + -14k

Combine like terms: 14k + -14k = 0
34 + -9k = -2 + 0
34 + -9k = -2

Add '-34' to each side of the equation.
34 + -34 + -9k = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -9k = -2 + -34
-9k = -2 + -34

Combine like terms: -2 + -34 = -36
-9k = -36

Divide each side by '-9'.
k = 4

Simplifying
k = 4

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