-8(k+4)-(9-2k)=-7k

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Solution for -8(k+4)-(9-2k)=-7k equation:


Simplifying
-8(k + 4) + -1(9 + -2k) = -7k

Reorder the terms:
-8(4 + k) + -1(9 + -2k) = -7k
(4 * -8 + k * -8) + -1(9 + -2k) = -7k
(-32 + -8k) + -1(9 + -2k) = -7k
-32 + -8k + (9 * -1 + -2k * -1) = -7k
-32 + -8k + (-9 + 2k) = -7k

Reorder the terms:
-32 + -9 + -8k + 2k = -7k

Combine like terms: -32 + -9 = -41
-41 + -8k + 2k = -7k

Combine like terms: -8k + 2k = -6k
-41 + -6k = -7k

Solving
-41 + -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.
-41 + -6k + 7k = -7k + 7k

Combine like terms: -6k + 7k = 1k
-41 + 1k = -7k + 7k

Combine like terms: -7k + 7k = 0
-41 + 1k = 0

Add '41' to each side of the equation.
-41 + 41 + 1k = 0 + 41

Combine like terms: -41 + 41 = 0
0 + 1k = 0 + 41
1k = 0 + 41

Combine like terms: 0 + 41 = 41
1k = 41

Divide each side by '1'.
k = 41

Simplifying
k = 41

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