How do you solve #-5(-2-3k)=-65# using the distributive property?

1 Answer
Jim G.
Sep 2, 2017

#k=-5#

Explanation:

#"multiply the terms in the bracket by - 5"#

#rArr10+15k=-65larrcolor(blue)" distributive property"#

#"isolate 15k on the left by subtracting 10 from both sides"#

#cancel(10)cancel(-10)+15k=-65-10#

#rArr15k=-75#

#"divide both sides by 15"#

#(cancel(15) k)/cancel(15)=(-75)/15#

#rArrk=-5#

#color(blue)"As a check"#

#Substitute this value into the equation and if both sides are equal then it is the solution.

#"left "=-5(-2+15)=-5xx13=-65=" right"#

#rArrk=-5" is the solution"#

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