Question

Solving multi-step equations

10p + 9 − 11 − p = −2(2p + 4) − 3(2p − 2)

Answer 1

10p+9−11−p=−2(2p+4)−3(2p−2), Step 1: Simplify both sides of the equation., 10p+9−11−p=−2(2p+4)−3(2p−2), Simplify:, 10p+9+−11+−p=(−2)(2p)+(−2)(4)+(−3)(2p)+(−3)(−2)(Distribute), 10p+9+−11+−p=−4p+−8+−6p+6, (10p+−p)+(9+−11)=(−4p+−6p)+(−8+6)(Combine Like Terms), 9p+−2=−10p+−2, 9p−2=−10p−2, Step 2: Add 10p to both sides., 9p−2+10p=−10p−2+10p, 19p−2=−2, Step 3: Add 2 to both sides., 19p−2+2=−2+2, 19p=0, Step 4: Divide both sides by 19., 19p/19, =0/19, p=0 Answer: p=0

Answer 2

Right side:
-2 (2p+4) - 3 (2p-2)

Use distributive property:
-2* (2p)+ (-2)* 4 - 3* (2p) - 3* (-2)
= -4p - 8 -6p +6
= (-4p - 6p) + (6-8)
= -10p -2.

Left side:
10p + 9 - 11 -p
=(10p - p) + (9 - 11)
= 9p - 2

-10p - 2= 9p - 2
⇒ -10p + (-2+2) = 9p + (-2+2)
⇒ -10p = 9p
⇒ p=0.

Final answer: p=0.

Hope this would help~