4k+6k-7=7k+8

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Solution for 4k+6k-7=7k+8 equation:


Simplifying
4k + 6k + -7 = 7k + 8

Reorder the terms:
-7 + 4k + 6k = 7k + 8

Combine like terms: 4k + 6k = 10k
-7 + 10k = 7k + 8

Reorder the terms:
-7 + 10k = 8 + 7k

Solving
-7 + 10k = 8 + 7k

Solving for variable 'k'.

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

Add '-7k' to each side of the equation.
-7 + 10k + -7k = 8 + 7k + -7k

Combine like terms: 10k + -7k = 3k
-7 + 3k = 8 + 7k + -7k

Combine like terms: 7k + -7k = 0
-7 + 3k = 8 + 0
-7 + 3k = 8

Add '7' to each side of the equation.
-7 + 7 + 3k = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 3k = 8 + 7
3k = 8 + 7

Combine like terms: 8 + 7 = 15
3k = 15

Divide each side by '3'.
k = 5

Simplifying
k = 5

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