5. 2p – 7 = 13 – 8p​

Answer:Simplifying2p + -7 = 13 + -8pReorder the terms:-7 + 2p = 13 + -8pSolving-7 + 2p = 13 + -8pSolving for variable 'p'.Move all terms containing p to the left, all other terms to the right.Add '8p' to each side of the equation.-7 + 2p + 8p = 13 + -8p + 8pCombine like terms: 2p + 8p = 10p-7 + 10p = 13 + -8p + 8pCombine like terms: -8p + 8p = 0-7 + 10p = 13 + 0-7 + 10p = 13Add '7' to each side of the equation.-7 + 7 + 10p = 13 + 7Combine like terms: -7 + 7 = 00 + 10p = 13 + 710p = 13 + 7Combine like terms: 13 + 7 = 2010p = 20Divide each side by '10'.p = 2Simplifyingp = 2Step-by-step explanation: