2(k+10)+1=6k-12

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Solution for 2(k+10)+1=6k-12 equation: 


Simplifying
2(k + 10) + 1 = 6k + -12

Reorder the terms:
2(10 + k) + 1 = 6k + -12
(10 * 2 + k * 2) + 1 = 6k + -12
(20 + 2k) + 1 = 6k + -12

Reorder the terms:
20 + 1 + 2k = 6k + -12

Combine like terms: 20 + 1 = 21
21 + 2k = 6k + -12

Reorder the terms:
21 + 2k = -12 + 6k

Solving
21 + 2k = -12 + 6k

Solving for variable 'k'.

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

Add '-6k' to each side of the equation.
21 + 2k + -6k = -12 + 6k + -6k

Combine like terms: 2k + -6k = -4k
21 + -4k = -12 + 6k + -6k

Combine like terms: 6k + -6k = 0
21 + -4k = -12 + 0
21 + -4k = -12

Add '-21' to each side of the equation.
21 + -21 + -4k = -12 + -21

Combine like terms: 21 + -21 = 0
0 + -4k = -12 + -21
-4k = -12 + -21

Combine like terms: -12 + -21 = -33
-4k = -33

Divide each side by '-4'.
k = 8.25

Simplifying
k = 8.25

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