Solve by Factoring -3(5-15n)=15(3n-2)

$- 3 (5 - 15 n) = 15 (3 n - 2)$

Step 1

Subtract $15 (3 n - 2)$ from both sides of the equation.

$- 3 (5 - 15 n) - 15 (3 n - 2) = 0$

Step 2

Simplify $- 3 (5 - 15 n) - 15 (3 n - 2)$ .

Simplify each term.

Apply the distributive property.

$- 3 \cdot 5 - 3 (- 15 n) - 15 (3 n - 2) = 0$

Multiply $- 3$ by $5$ .

$- 15 - 3 (- 15 n) - 15 (3 n - 2) = 0$

Multiply $- 15$ by $- 3$ .

$- 15 + 45 n - 15 (3 n - 2) = 0$

Apply the distributive property.

$- 15 + 45 n - 15 (3 n) - 15 \cdot - 2 = 0$

Multiply $3$ by $- 15$ .

$- 15 + 45 n - 45 n - 15 \cdot - 2 = 0$

Multiply $- 15$ by $- 2$ .

$- 15 + 45 n - 45 n + 30 = 0$

Combine the opposite terms in $- 15 + 45 n - 45 n + 30$ .

Subtract $45 n$ from $45 n$ .

$- 15 + 0 + 30 = 0$

Add $- 15$ and $0$ .

$- 15 + 30 = 0$

Add $- 15$ and $30$ .

$15 = 0$

Step 3

Since $15 \neq 0$ , there are no solutions.

No solution