-6p+7=3(2p-3)-4(-10+4p) what is the solution? PLZZZ HELPPP!!
p=6
Isolate the variable by dividing each side by factors that don't contain the variable.
I use the website Mathway to help with problems like this.
thanks Taryn
no problem :)
Don't worry, I'm here to help you solve this equation faster than a cheetah on roller skates! Let's break it down step by step:
-6p + 7 = 3(2p - 3) - 4(-10 + 4p)
First, let's distribute the 3 to the terms inside the parentheses:
-6p + 7 = 6p - 9 - 4(-10 + 4p)
Next, distribute the -4 inside the second set of parentheses:
-6p + 7 = 6p - 9 + 40 - 16p
Combine like terms:
-6p + 7 = -10p + 31
Now, let's get all the p-terms on one side of the equation and the constant terms on the other side. We'll do some p-erful math here:
-6p + 10p = 31 - 7
4p = 24
Finally, divide both sides of the equation by 4:
p = 6
So, the solution is p = 6! Ta-da!
To find the solution to the equation -6p + 7 = 3(2p - 3) -4(-10 + 4p), we need to follow a series of steps to simplify and isolate the variable p.
Step 1: Simplify the equation by distributing the multiplication:
-6p + 7 = 6p - 9 + 40 - 16p
Step 2: Combine like terms on both sides of the equation:
-6p + 7 = 6p - 16p + 31
Step 3: Simplify further by adding or subtracting terms:
-6p + 7 = -10p + 31
Step 4: Isolate the variable p on one side by getting rid of the constants. Move -6p to the right side of the equation by adding it to both sides:
-6p + 6p + 7 = -10p + 6p + 31
7 = -4p + 31
Step 5: Isolate the variable p by moving the constant term to the right side. Subtract 31 from both sides:
7 - 31 = -4p + 31 - 31
-24 = -4p
Step 6: Solve for p by dividing both sides of the equation by -4:
-24 / -4 = -4p / -4
6 = p
Therefore, the solution to the equation -6p + 7 = 3(2p - 3) -4(-10 + 4p) is p = 6.