90=k-8(k-6)

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Solution for 90=k-8(k-6) equation:


Simplifying
90 = k + -8(k + -6)

Reorder the terms:
90 = k + -8(-6 + k)
90 = k + (-6 * -8 + k * -8)
90 = k + (48 + -8k)

Reorder the terms:
90 = 48 + k + -8k

Combine like terms: k + -8k = -7k
90 = 48 + -7k

Solving
90 = 48 + -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.
90 + 7k = 48 + -7k + 7k

Combine like terms: -7k + 7k = 0
90 + 7k = 48 + 0
90 + 7k = 48

Add '-90' to each side of the equation.
90 + -90 + 7k = 48 + -90

Combine like terms: 90 + -90 = 0
0 + 7k = 48 + -90
7k = 48 + -90

Combine like terms: 48 + -90 = -42
7k = -42

Divide each side by '7'.
k = -6

Simplifying
k = -6

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