6=4(k+1)+-10

Solution for 6=4(k+1)+-10 equation:

Simplifying
6 = 4(k + 1) + -10

Reorder the terms:
6 = 4(1 + k) + -10
6 = (1 * 4 + k * 4) + -10
6 = (4 + 4k) + -10

Reorder the terms:
6 = 4 + -10 + 4k

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

Solving
6 = -6 + 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.
6 + -4k = -6 + 4k + -4k

Combine like terms: 4k + -4k = 0
6 + -4k = -6 + 0
6 + -4k = -6

Add '-6' to each side of the equation.
6 + -6 + -4k = -6 + -6

Combine like terms: 6 + -6 = 0
0 + -4k = -6 + -6
-4k = -6 + -6

Combine like terms: -6 + -6 = -12
-4k = -12

Divide each side by '-4'.
k = 3

Simplifying
k = 3