2k+10-3k-1=k-7

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Solution for 2k+10-3k-1=k-7 equation: 


Simplifying
2k + 10 + -3k + -1 = k + -7

Reorder the terms:
10 + -1 + 2k + -3k = k + -7

Combine like terms: 10 + -1 = 9
9 + 2k + -3k = k + -7

Combine like terms: 2k + -3k = -1k
9 + -1k = k + -7

Reorder the terms:
9 + -1k = -7 + k

Solving
9 + -1k = -7 + 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.
9 + -1k + -1k = -7 + k + -1k

Combine like terms: -1k + -1k = -2k
9 + -2k = -7 + k + -1k

Combine like terms: k + -1k = 0
9 + -2k = -7 + 0
9 + -2k = -7

Add '-9' to each side of the equation.
9 + -9 + -2k = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2k = -7 + -9
-2k = -7 + -9

Combine like terms: -7 + -9 = -16
-2k = -16

Divide each side by '-2'.
k = 8

Simplifying
k = 8

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