4k+1+3k=-6

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Solution for 4k+1+3k=-6 equation: 


Simplifying
4k + 1 + 3k = -6

Reorder the terms:
1 + 4k + 3k = -6

Combine like terms: 4k + 3k = 7k
1 + 7k = -6

Solving
1 + 7k = -6

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 7k = -6 + -1

Combine like terms: 1 + -1 = 0
0 + 7k = -6 + -1
7k = -6 + -1

Combine like terms: -6 + -1 = -7
7k = -7

Divide each side by '7'.
k = -1

Simplifying
k = -1

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