Calculate: -3(8k+5)=3(9-k)

Expression: $-3\left( 8k+5 \right)=3\left( 9-k \right)$

Divide both sides of the equation by $-3$

$8k+5=-\left( 9-k \right)$

When there is a $-$ in front of an expression in parentheses, change the sign of each term of the expression and remove the parentheses

$8k+5=-9+k$

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

$8k+5-k=-9$

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

$8k-k=-9-5$

Collect like terms

$7k=-9-5$

Calculate the difference

$7k=-14$

Divide both sides of the equation by $7$

$k=-2$