-4p-10(2p-3)=22-7(1-2p)
multiply everything in parenthesis by the number next to it
-4p - 20p +30 = 22 -7 + 14p add common terms together
-24p + 30 = 15 + 14p add 24p to both side
30= 15 + 38p - 15 from both side
15= 38p divide 38 from both side
15/38 = p
To solve the equation -4p - 10(2p - 3) = 22 - 7(1 - 2p), we will simplify both sides of the equation step by step.
First, let's distribute the -10 to the terms inside the parentheses on the left side and distribute -7 to the terms inside the parentheses on the right side:
-4p - 10(2p - 3) = 22 - 7(1 - 2p)
-4p - 20p + 30 = 22 - 7 + 14p
Now, let's combine like terms on both sides of the equation:
(-4p - 20p) + 30 = (22 - 7) + 14p
-24p + 30 = 15 + 14p
Next, let's isolate the variables by moving all terms containing p to one side of the equation and all constant terms to the other side. To do this, we will add 24p to both sides and subtract 15 from both sides:
-24p + 30 + 24p = 15 + 14p + 24p
30 = 15 + 38p
Now, let's simplify the right side of the equation:
30 = 15 + 38p
30 - 15 = 38p
15 = 38p
Finally, let's solve for p by dividing both sides of the equation by 38:
15/38 = p
Therefore, the solution to the equation -4p - 10(2p - 3) = 22 - 7(1 - 2p) is p = 15/38.