5k+1=3k+k-13

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Solution for 5k+1=3k+k-13 equation:


Simplifying
5k + 1 = 3k + k + -13

Reorder the terms:
1 + 5k = 3k + k + -13

Reorder the terms:
1 + 5k = -13 + 3k + k

Combine like terms: 3k + k = 4k
1 + 5k = -13 + 4k

Solving
1 + 5k = -13 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
1 + 5k + -4k = -13 + 4k + -4k

Combine like terms: 5k + -4k = 1k
1 + 1k = -13 + 4k + -4k

Combine like terms: 4k + -4k = 0
1 + 1k = -13 + 0
1 + 1k = -13

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

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

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

Divide each side by '1'.
k = -14

Simplifying
k = -14

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