Question

8(11k-8)-8=8(-9+11k)

Answer 1

Multiply the first bracket by 8.

Multiply the second bracket by 8.

8(11k-8)-8=8(-9+11k)

88k-64-8= -72+88k

88k-72= -72+88k

Move -72 to the right side. Sign changes from -72 to +72.

88k-72+72= -72+72+88k

88k= 88k

Answer : all real numbers

Answer 2

The equation has infinite solutions

Explanation:

We have the following expression

`8(11k-8)-8=8(-9+11k)`

To solve the equation apply the distributive property

`8*11k-8*8-8=-9*8+11*8k`

Now simplify the expression

`88k-64-8=-72+88k`

`88k-72=-72+88k`

`0=0`

The equation has infinite solutions