5k-5-3k+6=-13

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Solution for 5k-5-3k+6=-13 equation:


Simplifying
5k + -5 + -3k + 6 = -13

Reorder the terms:
-5 + 6 + 5k + -3k = -13

Combine like terms: -5 + 6 = 1
1 + 5k + -3k = -13

Combine like terms: 5k + -3k = 2k
1 + 2k = -13

Solving
1 + 2k = -13

Solving for variable 'k'.

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

Add '-1' to each side of the equation.
1 + -1 + 2k = -13 + -1

Combine like terms: 1 + -1 = 0
0 + 2k = -13 + -1
2k = -13 + -1

Combine like terms: -13 + -1 = -14
2k = -14

Divide each side by '2'.
k = -7

Simplifying
k = -7

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