4(4-k)+30(k-4)=1

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Solution for 4(4-k)+30(k-4)=1 equation: 


Simplifying
4(4 + -1k) + 30(k + -4) = 1
(4 * 4 + -1k * 4) + 30(k + -4) = 1
(16 + -4k) + 30(k + -4) = 1

Reorder the terms:
16 + -4k + 30(-4 + k) = 1
16 + -4k + (-4 * 30 + k * 30) = 1
16 + -4k + (-120 + 30k) = 1

Reorder the terms:
16 + -120 + -4k + 30k = 1

Combine like terms: 16 + -120 = -104
-104 + -4k + 30k = 1

Combine like terms: -4k + 30k = 26k
-104 + 26k = 1

Solving
-104 + 26k = 1

Solving for variable 'k'.

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

Add '104' to each side of the equation.
-104 + 104 + 26k = 1 + 104

Combine like terms: -104 + 104 = 0
0 + 26k = 1 + 104
26k = 1 + 104

Combine like terms: 1 + 104 = 105
26k = 105

Divide each side by '26'.
k = 4.038461538

Simplifying
k = 4.038461538

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