k-10+7k=5(k+1)

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Solution for k-10+7k=5(k+1) equation:


Simplifying
k + -10 + 7k = 5(k + 1)

Reorder the terms:
-10 + k + 7k = 5(k + 1)

Combine like terms: k + 7k = 8k
-10 + 8k = 5(k + 1)

Reorder the terms:
-10 + 8k = 5(1 + k)
-10 + 8k = (1 * 5 + k * 5)
-10 + 8k = (5 + 5k)

Solving
-10 + 8k = 5 + 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.
-10 + 8k + -5k = 5 + 5k + -5k

Combine like terms: 8k + -5k = 3k
-10 + 3k = 5 + 5k + -5k

Combine like terms: 5k + -5k = 0
-10 + 3k = 5 + 0
-10 + 3k = 5

Add '10' to each side of the equation.
-10 + 10 + 3k = 5 + 10

Combine like terms: -10 + 10 = 0
0 + 3k = 5 + 10
3k = 5 + 10

Combine like terms: 5 + 10 = 15
3k = 15

Divide each side by '3'.
k = 5

Simplifying
k = 5

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