7(2-k)+60(k-5)=1

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Solution for 7(2-k)+60(k-5)=1 equation: 


Simplifying
7(2 + -1k) + 60(k + -5) = 1
(2 * 7 + -1k * 7) + 60(k + -5) = 1
(14 + -7k) + 60(k + -5) = 1

Reorder the terms:
14 + -7k + 60(-5 + k) = 1
14 + -7k + (-5 * 60 + k * 60) = 1
14 + -7k + (-300 + 60k) = 1

Reorder the terms:
14 + -300 + -7k + 60k = 1

Combine like terms: 14 + -300 = -286
-286 + -7k + 60k = 1

Combine like terms: -7k + 60k = 53k
-286 + 53k = 1

Solving
-286 + 53k = 1

Solving for variable 'k'.

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

Add '286' to each side of the equation.
-286 + 286 + 53k = 1 + 286

Combine like terms: -286 + 286 = 0
0 + 53k = 1 + 286
53k = 1 + 286

Combine like terms: 1 + 286 = 287
53k = 287

Divide each side by '53'.
k = 5.41509434

Simplifying
k = 5.41509434

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