6k-3=2k-13

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Solution for 6k-3=2k-13 equation:


Simplifying
6k + -3 = 2k + -13

Reorder the terms:
-3 + 6k = 2k + -13

Reorder the terms:
-3 + 6k = -13 + 2k

Solving
-3 + 6k = -13 + 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.
-3 + 6k + -2k = -13 + 2k + -2k

Combine like terms: 6k + -2k = 4k
-3 + 4k = -13 + 2k + -2k

Combine like terms: 2k + -2k = 0
-3 + 4k = -13 + 0
-3 + 4k = -13

Add '3' to each side of the equation.
-3 + 3 + 4k = -13 + 3

Combine like terms: -3 + 3 = 0
0 + 4k = -13 + 3
4k = -13 + 3

Combine like terms: -13 + 3 = -10
4k = -10

Divide each side by '4'.
k = -2.5

Simplifying
k = -2.5

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