6(-2k-7)=6(1+2k)

Solution for 6(-2k-7)=6(1+2k) equation:

Simplifying
6(-2k + -7) = 6(1 + 2k)

Reorder the terms:
6(-7 + -2k) = 6(1 + 2k)
(-7 * 6 + -2k * 6) = 6(1 + 2k)
(-42 + -12k) = 6(1 + 2k)
-42 + -12k = (1 * 6 + 2k * 6)
-42 + -12k = (6 + 12k)

Solving
-42 + -12k = 6 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
-42 + -12k + -12k = 6 + 12k + -12k

Combine like terms: -12k + -12k = -24k
-42 + -24k = 6 + 12k + -12k

Combine like terms: 12k + -12k = 0
-42 + -24k = 6 + 0
-42 + -24k = 6

Add '42' to each side of the equation.
-42 + 42 + -24k = 6 + 42

Combine like terms: -42 + 42 = 0
0 + -24k = 6 + 42
-24k = 6 + 42

Combine like terms: 6 + 42 = 48
-24k = 48

Divide each side by '-24'.
k = -2

Simplifying
k = -2