142=7(4k+6)-3k

Solution for 142=7(4k+6)-3k equation:

Simplifying
142 = 7(4k + 6) + -3k

Reorder the terms:
142 = 7(6 + 4k) + -3k
142 = (6 * 7 + 4k * 7) + -3k
142 = (42 + 28k) + -3k

Combine like terms: 28k + -3k = 25k
142 = 42 + 25k

Solving
142 = 42 + 25k

Solving for variable 'k'.

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

Add '-25k' to each side of the equation.
142 + -25k = 42 + 25k + -25k

Combine like terms: 25k + -25k = 0
142 + -25k = 42 + 0
142 + -25k = 42

Add '-142' to each side of the equation.
142 + -142 + -25k = 42 + -142

Combine like terms: 142 + -142 = 0
0 + -25k = 42 + -142
-25k = 42 + -142

Combine like terms: 42 + -142 = -100
-25k = -100

Divide each side by '-25'.
k = 4

Simplifying
k = 4