Question

Consider the equation: 3(–4n – 9) = 21

Use the distributive property and properties of equality to solve for n.

Answer 1

The answer is Negative Four -4

Explanation:

Answer 2

Answer: N=-4

Explanation:

STEP

1

:

STEP

2

:

Pulling out like terms

2.1 Pull out like factors :

-4n - 9 = -1 • (4n + 9)

Equation at the end of step

2

:

-3 • (4n + 9) - 21 = 0

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

-12n - 48 = -12 • (n + 4)

Equation at the end of step

4

:

-12 • (n + 4) = 0

STEP

5

:

Equations which are never true:

5.1 Solve : -12 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

5.2 Solve : n+4 = 0

Subtract 4 from both sides of the equation :

n = -4

One solution was found :

n = -4