Evaluate: 4(n-3)+3n+9=2n+22

Expression: $4\left( n-3 \right)+3n+9=2n+22$

Distribute $4$ through the parentheses

$4n-12+3n+9=2n+22$

Collect like terms

$7n-12+9=2n+22$

Calculate the sum

$7n-3=2n+22$

Move the variable to the left-hand side and change its sign

$7n-3-2n=22$

Move the constant to the right-hand side and change its sign

$7n-2n=22+3$

Collect like terms

$5n=22+3$

Add the numbers

$5n=25$

Divide both sides of the equation by $5$

$n=5$