-9.78(27x-65)=78.24(6k+34)

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Solution for -9.78(27x-65)=78.24(6k+34) equation: 


Simplifying
-9.78(27x + -65) = 78.24(6k + 34)

Reorder the terms:
-9.78(-65 + 27x) = 78.24(6k + 34)
(-65 * -9.78 + 27x * -9.78) = 78.24(6k + 34)
(635.7 + -264.06x) = 78.24(6k + 34)

Reorder the terms:
635.7 + -264.06x = 78.24(34 + 6k)
635.7 + -264.06x = (34 * 78.24 + 6k * 78.24)
635.7 + -264.06x = (2660.16 + 469.44k)

Solving
635.7 + -264.06x = 2660.16 + 469.44k

Solving for variable 'x'.

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

Add '-635.7' to each side of the equation.
635.7 + -635.7 + -264.06x = 2660.16 + -635.7 + 469.44k

Combine like terms: 635.7 + -635.7 = 0.0
0.0 + -264.06x = 2660.16 + -635.7 + 469.44k
-264.06x = 2660.16 + -635.7 + 469.44k

Combine like terms: 2660.16 + -635.7 = 2024.46
-264.06x = 2024.46 + 469.44k

Divide each side by '-264.06'.
x = -7.666666667 + -1.777777778k

Simplifying
x = -7.666666667 + -1.777777778k

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