-2(k-5)+7k=k+30

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Solution for -2(k-5)+7k=k+30 equation: 


Simplifying
-2(k + -5) + 7k = k + 30

Reorder the terms:
-2(-5 + k) + 7k = k + 30
(-5 * -2 + k * -2) + 7k = k + 30
(10 + -2k) + 7k = k + 30

Combine like terms: -2k + 7k = 5k
10 + 5k = k + 30

Reorder the terms:
10 + 5k = 30 + k

Solving
10 + 5k = 30 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
10 + 5k + -1k = 30 + k + -1k

Combine like terms: 5k + -1k = 4k
10 + 4k = 30 + k + -1k

Combine like terms: k + -1k = 0
10 + 4k = 30 + 0
10 + 4k = 30

Add '-10' to each side of the equation.
10 + -10 + 4k = 30 + -10

Combine like terms: 10 + -10 = 0
0 + 4k = 30 + -10
4k = 30 + -10

Combine like terms: 30 + -10 = 20
4k = 20

Divide each side by '4'.
k = 5

Simplifying
k = 5

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