# How do you simplify the expression (-2c + 3d)(-5) + 3(2c) - (-8d)?

Apr 11, 2015

We facortise this expression using the PEMDAS rule
(Parentheses > Exponents > Mult and Div > Add and Subtract)

$\left(- 2 c + 3 d\right) \left(- 5\right) + 3 \left(2 c\right) - \left(- 8 d\right)$ is the expression given to us.

We Multiply terms before we perform Addition/Subtraction

$= \left(- 2 c \cdot - 5\right) + \left(3 d \cdot - 5\right) + 3 \left(2 c\right) - \left(- 8 d\right)$
( We used the Distributive Property of Multiplication)

$= \left(10 c\right) + \left(- 15 d\right) + 6 c + 8 d$

$= 10 c - 15 d + 6 c + 8 d$

We group like terms

$= \left(10 c + 6 c\right) + \left(8 d - 15 d\right)$

$= \left(16 c\right) + \left(- 7 d\right)$

color(green)( = 16c - 7d