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

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


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

Reorder the terms:
-6(6 + k) + -1(-7k + 4) = 7
(6 * -6 + k * -6) + -1(-7k + 4) = 7
(-36 + -6k) + -1(-7k + 4) = 7

Reorder the terms:
-36 + -6k + -1(4 + -7k) = 7
-36 + -6k + (4 * -1 + -7k * -1) = 7
-36 + -6k + (-4 + 7k) = 7

Reorder the terms:
-36 + -4 + -6k + 7k = 7

Combine like terms: -36 + -4 = -40
-40 + -6k + 7k = 7

Combine like terms: -6k + 7k = 1k
-40 + 1k = 7

Solving
-40 + 1k = 7

Solving for variable 'k'.

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

Add '40' to each side of the equation.
-40 + 40 + 1k = 7 + 40

Combine like terms: -40 + 40 = 0
0 + 1k = 7 + 40
1k = 7 + 40

Combine like terms: 7 + 40 = 47
1k = 47

Divide each side by '1'.
k = 47

Simplifying
k = 47

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