3k+1=4k-7

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Solution for 3k+1=4k-7 equation:


Simplifying
3k + 1 = 4k + -7

Reorder the terms:
1 + 3k = 4k + -7

Reorder the terms:
1 + 3k = -7 + 4k

Solving
1 + 3k = -7 + 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 + 3k + -4k = -7 + 4k + -4k

Combine like terms: 3k + -4k = -1k
1 + -1k = -7 + 4k + -4k

Combine like terms: 4k + -4k = 0
1 + -1k = -7 + 0
1 + -1k = -7

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

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

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

Divide each side by '-1'.
k = 8

Simplifying
k = 8

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