-10k+6=10(k-9)

Solution for -10k+6=10(k-9) equation:

Simplifying
-10k + 6 = 10(k + -9)

Reorder the terms:
6 + -10k = 10(k + -9)

Reorder the terms:
6 + -10k = 10(-9 + k)
6 + -10k = (-9 * 10 + k * 10)
6 + -10k = (-90 + 10k)

Solving
6 + -10k = -90 + 10k

Solving for variable 'k'.

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

Add '-10k' to each side of the equation.
6 + -10k + -10k = -90 + 10k + -10k

Combine like terms: -10k + -10k = -20k
6 + -20k = -90 + 10k + -10k

Combine like terms: 10k + -10k = 0
6 + -20k = -90 + 0
6 + -20k = -90

Add '-6' to each side of the equation.
6 + -6 + -20k = -90 + -6

Combine like terms: 6 + -6 = 0
0 + -20k = -90 + -6
-20k = -90 + -6

Combine like terms: -90 + -6 = -96
-20k = -96

Divide each side by '-20'.
k = 4.8

Simplifying
k = 4.8