Simplify-
(-2c+d)(-5)+3(-2c)(-8d)
Solve the Equation-
y/12= -3
-9+a=11
Here are rules that will help you.
http://cstl.syr.edu/FIPSE/Algebra/Unit3/combine.htm
I hope it helps. Thanks for asking.
To simplify the expression (-2c+d)(-5)+3(-2c)(-8d), we can follow the distributive property and simplify each term separately.
First, we distribute the -5 to each term inside the parentheses, (-2c+d):
-5 * -2c = 10c
-5 * d = -5d
Next, we distribute 3 to each term inside the second parentheses, -2c and -8d:
3 * -2c = -6c
3 * -8d = -24d
Now, we combine the simplified terms:
10c + (-5d) + (-6c) + (-24d)
To add the terms with the same variable, we combine the coefficients (numbers in front of the variable):
(10c - 6c) + (-5d - 24d)
4c - 29d
So, the simplified expression is 4c - 29d.
Moving on to the equations you provided:
1. Solve the equation y/12 = -3:
To solve this equation, we can multiply both sides by 12 to isolate y:
(y/12) * 12 = -3 * 12
y = -36
So, the solution to the equation y/12 = -3 is y = -36.
2. Solve the equation -9 + a = 11:
To solve this equation, we can isolate the variable by adding 9 to both sides:
(-9 + a) + 9 = 11 + 9
a = 20
So, the solution to the equation -9 + a = 11 is a = 20.