Jill solved the equation 8 - p + 7 = 7p - 5 - 3p. Here are her last two steps: 20 = 5p 4 = p Which statement is true about the equation? Choices: (A)The solution is p = 4. (B)There is no solution. (C)There are infinitely many solutions. (D)The solution is (20, 4).

Simplify left side: First, simplify the left side of the equation by combining like terms: 8 - p + 7. Simplify right side: Next, simplify the right side of the equation: 7p - 5 - 3p. Set equal: Now, set the simplified left side equal to the simplified right side: 15 - p = 4p - 5. Isolate variable: Add p to both sides and add 5 to both sides to isolate the variable p: 15 + 5 = 4p + p. Solve for p: Divide both sides by 5 to solve for p: 20 / 5 = p.

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Jill solved the equation $8 - p + 7 = 7p - 5 - 3p$ . Here are her last two steps: $\newline$ $20 = 5p$ $\newline$ $4 = p$ $\newline$ Which statement is true about the equation? $\newline$ Choices: $\newline$ (A)The solution is $p = 4$ . $\newline$ (B)There is no solution. $\newline$ (C)There are infinitely many solutions. $\newline$ (D)The solution is $(20, 4)$ .

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Q. Jill solved the equation

8 - p + 7 = 7p - 5 - 3p

. Here are her last two steps:

\newline

20 = 5p

\newline

4 = p

\newline

Which statement is true about the equation?

\newline

Choices:

\newline

(A)The solution is

p = 4

\newline

(B)There is no solution.

\newline

(C)There are infinitely many solutions.

\newline

(D)The solution is

(20, 4)

Simplify left side: First, simplify the left side of the equation by combining like terms: $8 - p + 7$ .
Simplify right side: Next, simplify the right side of the equation: $7p - 5 - 3p$ .
Set equal: Now, set the simplified left side equal to the simplified right side: $15 - p = 4p - 5$ .
Isolate variable: Add $p$ to both sides and add $5$ to both sides to isolate the variable $p$ : $15 + 5 = 4p + p$ .
Solve for p: Divide both sides by $5$ to solve for p: $\frac{20}{5} = p$ .