3k-8+10=7k+1

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Solution for 3k-8+10=7k+1 equation:


Simplifying
3k + -8 + 10 = 7k + 1

Reorder the terms:
-8 + 10 + 3k = 7k + 1

Combine like terms: -8 + 10 = 2
2 + 3k = 7k + 1

Reorder the terms:
2 + 3k = 1 + 7k

Solving
2 + 3k = 1 + 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.
2 + 3k + -7k = 1 + 7k + -7k

Combine like terms: 3k + -7k = -4k
2 + -4k = 1 + 7k + -7k

Combine like terms: 7k + -7k = 0
2 + -4k = 1 + 0
2 + -4k = 1

Add '-2' to each side of the equation.
2 + -2 + -4k = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -4k = 1 + -2
-4k = 1 + -2

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

Divide each side by '-4'.
k = 0.25

Simplifying
k = 0.25

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