8-3(k-3)=-32+4k

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Solution for 8-3(k-3)=-32+4k equation: 


Simplifying
8 + -3(k + -3) = -32 + 4k

Reorder the terms:
8 + -3(-3 + k) = -32 + 4k
8 + (-3 * -3 + k * -3) = -32 + 4k
8 + (9 + -3k) = -32 + 4k

Combine like terms: 8 + 9 = 17
17 + -3k = -32 + 4k

Solving
17 + -3k = -32 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
17 + -3k + -4k = -32 + 4k + -4k

Combine like terms: -3k + -4k = -7k
17 + -7k = -32 + 4k + -4k

Combine like terms: 4k + -4k = 0
17 + -7k = -32 + 0
17 + -7k = -32

Add '-17' to each side of the equation.
17 + -17 + -7k = -32 + -17

Combine like terms: 17 + -17 = 0
0 + -7k = -32 + -17
-7k = -32 + -17

Combine like terms: -32 + -17 = -49
-7k = -49

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

Simplifying
k = 7

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