8-9(3r-7k)=494

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Solution for 8-9(3r-7k)=494 equation:


Simplifying
8 + -9(3r + -7k) = 494

Reorder the terms:
8 + -9(-7k + 3r) = 494
8 + (-7k * -9 + 3r * -9) = 494
8 + (63k + -27r) = 494

Solving
8 + 63k + -27r = 494

Solving for variable 'k'.

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

Add '-8' to each side of the equation.
8 + 63k + -8 + -27r = 494 + -8

Reorder the terms:
8 + -8 + 63k + -27r = 494 + -8

Combine like terms: 8 + -8 = 0
0 + 63k + -27r = 494 + -8
63k + -27r = 494 + -8

Combine like terms: 494 + -8 = 486
63k + -27r = 486

Add '27r' to each side of the equation.
63k + -27r + 27r = 486 + 27r

Combine like terms: -27r + 27r = 0
63k + 0 = 486 + 27r
63k = 486 + 27r

Divide each side by '63'.
k = 7.714285714 + 0.4285714286r

Simplifying
k = 7.714285714 + 0.4285714286r

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