-4(k+1)-(6+2k)=-7k

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Solution for -4(k+1)-(6+2k)=-7k equation: 


Simplifying
-4(k + 1) + -1(6 + 2k) = -7k

Reorder the terms:
-4(1 + k) + -1(6 + 2k) = -7k
(1 * -4 + k * -4) + -1(6 + 2k) = -7k
(-4 + -4k) + -1(6 + 2k) = -7k
-4 + -4k + (6 * -1 + 2k * -1) = -7k
-4 + -4k + (-6 + -2k) = -7k

Reorder the terms:
-4 + -6 + -4k + -2k = -7k

Combine like terms: -4 + -6 = -10
-10 + -4k + -2k = -7k

Combine like terms: -4k + -2k = -6k
-10 + -6k = -7k

Solving
-10 + -6k = -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
-10 + -6k + 7k = -7k + 7k

Combine like terms: -6k + 7k = 1k
-10 + 1k = -7k + 7k

Combine like terms: -7k + 7k = 0
-10 + 1k = 0

Add '10' to each side of the equation.
-10 + 10 + 1k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + 1k = 0 + 10
1k = 0 + 10

Combine like terms: 0 + 10 = 10
1k = 10

Divide each side by '1'.
k = 10

Simplifying
k = 10

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