Calculate: -6(2r+8)=-10(r-3)

Expression: $-6\left( 2r+8 \right)=-10\left( r-3 \right)$

Distribute $-6$ through the parentheses

$-12r-48=-10\left( r-3 \right)$

Distribute $-10$ through the parentheses

$-12r-48=-10r+30$

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

$-12r-48+10r=30$

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

$-12r+10r=30+48$

Collect like terms

$-2r=30+48$

Add the numbers

$-2r=78$

Divide both sides of the equation by $-2$

$r=-39$