Question

Solve the equation: 6(k-7)-2=5

Answer 1

Answer:

Simplifying

6(k + -7) + -2 = 5

Reorder the terms:

6(-7 + k) + -2 = 5

(-7 * 6 + k * 6) + -2 = 5

(-42 + 6k) + -2 = 5

Reorder the terms:

-42 + -2 + 6k = 5

Combine like terms: -42 + -2 = -44

-44 + 6k = 5

Solving

-44 + 6k = 5

Solving for variable 'k'.

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

Add '44' to each side of the equation.

-44 + 44 + 6k = 5 + 44

Combine like terms: -44 + 44 = 0

0 + 6k = 5 + 44

6k = 5 + 44

Combine like terms: 5 + 44 = 49

6k = 49

Divide each side by '6'.

k = 8.166666667

Simplifying

k = 8.166666667

Step-by-step explanation: