1-k+7=-4-5k

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Solution for 1-k+7=-4-5k equation:


Simplifying
1 + -1k + 7 = -4 + -5k

Reorder the terms:
1 + 7 + -1k = -4 + -5k

Combine like terms: 1 + 7 = 8
8 + -1k = -4 + -5k

Solving
8 + -1k = -4 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
8 + -1k + 5k = -4 + -5k + 5k

Combine like terms: -1k + 5k = 4k
8 + 4k = -4 + -5k + 5k

Combine like terms: -5k + 5k = 0
8 + 4k = -4 + 0
8 + 4k = -4

Add '-8' to each side of the equation.
8 + -8 + 4k = -4 + -8

Combine like terms: 8 + -8 = 0
0 + 4k = -4 + -8
4k = -4 + -8

Combine like terms: -4 + -8 = -12
4k = -12

Divide each side by '4'.
k = -3

Simplifying
k = -3

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