2k+9+6k=2k+10+9

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Solution for 2k+9+6k=2k+10+9 equation:


Simplifying
2k + 9 + 6k = 2k + 10 + 9

Reorder the terms:
9 + 2k + 6k = 2k + 10 + 9

Combine like terms: 2k + 6k = 8k
9 + 8k = 2k + 10 + 9

Reorder the terms:
9 + 8k = 10 + 9 + 2k

Combine like terms: 10 + 9 = 19
9 + 8k = 19 + 2k

Solving
9 + 8k = 19 + 2k

Solving for variable 'k'.

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

Add '-2k' to each side of the equation.
9 + 8k + -2k = 19 + 2k + -2k

Combine like terms: 8k + -2k = 6k
9 + 6k = 19 + 2k + -2k

Combine like terms: 2k + -2k = 0
9 + 6k = 19 + 0
9 + 6k = 19

Add '-9' to each side of the equation.
9 + -9 + 6k = 19 + -9

Combine like terms: 9 + -9 = 0
0 + 6k = 19 + -9
6k = 19 + -9

Combine like terms: 19 + -9 = 10
6k = 10

Divide each side by '6'.
k = 1.666666667

Simplifying
k = 1.666666667

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