How do you solve #-9(-3t + 8) = -13t + 48#?

3 Answers
Apr 9, 2018

Answer:

#t = 3#

Explanation:

http://slideplayer.com/slide/9130823/

#-9(-3t + 8) = -13t + 48#

#"Order of Operations - "color(purple)(BEDMAS)#

#-9 * -3t - 9 * 8 = -13t + 48, " (Removing bracket)"#

#27t - 72 = -13t + 48, " (Multiplication, as also "color(brown)((-) * (-) = +)#

#27t + 13t = 48 + 72, "(Bringing like terms together)"#

#-40t = 120#

#t = cancel(120)^color(red)(3) / cancel40 = 3#

Apr 9, 2018

Answer:

First expand the brackets.

Explanation:

This gives you:

#27t - 72 = -13t + 48#

Then you move the unknowns to one side and the integers to the other:

#27t + 13t = 48 + 72#

Then simplify.

#40t = 120#

#t = 3#

Apr 9, 2018

Answer:

t=3

Explanation:

So here we multiply the number before the bracket with all the numbers in the bracket, let me explain.
#-9(-3t+8)=-13t+48#
#27t-72=-13t+48#
#40t - 72=48#
#40t=120#
#(40t)/40 = 120/40#
#t=3#