9=4(k-4)-7k

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


Simplifying
9 = 4(k + -4) + -7k

Reorder the terms:
9 = 4(-4 + k) + -7k
9 = (-4 * 4 + k * 4) + -7k
9 = (-16 + 4k) + -7k

Combine like terms: 4k + -7k = -3k
9 = -16 + -3k

Solving
9 = -16 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
9 + 3k = -16 + -3k + 3k

Combine like terms: -3k + 3k = 0
9 + 3k = -16 + 0
9 + 3k = -16

Add '-9' to each side of the equation.
9 + -9 + 3k = -16 + -9

Combine like terms: 9 + -9 = 0
0 + 3k = -16 + -9
3k = -16 + -9

Combine like terms: -16 + -9 = -25
3k = -25

Divide each side by '3'.
k = -8.333333333

Simplifying
k = -8.333333333

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