4k+1=2k-7

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Solution for 4k+1=2k-7 equation: 


Simplifying
4k + 1 = 2k + -7

Reorder the terms:
1 + 4k = 2k + -7

Reorder the terms:
1 + 4k = -7 + 2k

Solving
1 + 4k = -7 + 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.
1 + 4k + -2k = -7 + 2k + -2k

Combine like terms: 4k + -2k = 2k
1 + 2k = -7 + 2k + -2k

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

Add '-1' to each side of the equation.
1 + -1 + 2k = -7 + -1

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

Combine like terms: -7 + -1 = -8
2k = -8

Divide each side by '2'.
k = -4

Simplifying
k = -4

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