10k+2=11k-5

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Solution for 10k+2=11k-5 equation:


Simplifying
10k + 2 = 11k + -5

Reorder the terms:
2 + 10k = 11k + -5

Reorder the terms:
2 + 10k = -5 + 11k

Solving
2 + 10k = -5 + 11k

Solving for variable 'k'.

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

Add '-11k' to each side of the equation.
2 + 10k + -11k = -5 + 11k + -11k

Combine like terms: 10k + -11k = -1k
2 + -1k = -5 + 11k + -11k

Combine like terms: 11k + -11k = 0
2 + -1k = -5 + 0
2 + -1k = -5

Add '-2' to each side of the equation.
2 + -2 + -1k = -5 + -2

Combine like terms: 2 + -2 = 0
0 + -1k = -5 + -2
-1k = -5 + -2

Combine like terms: -5 + -2 = -7
-1k = -7

Divide each side by '-1'.
k = 7

Simplifying
k = 7

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