Rephrase Problem: First, let's rephrase the problem into a clear question prompt. question_prompt: What is the value of P in the equation (P+3)+8=10?Simplify Equation: Now, let's simplify the left side of the equation by combining like terms. (P+3)+8 = P+3+8 Combine the constant terms 3 and 8. P+11 = 10Isolate Variable: Next, we need to isolate P on one side of the equation to solve for it. Subtract 11 from both sides of the equation to get P alone. P+11-11 = 10-11 This simplifies to: P = -1Check Solution: Finally, let's check our solution by substituting P back into the original equation to ensure it satisfies the equation. (P+3)+8 = 10 (-1+3)+8 = 10 2+8 = 10 10 = 10 This confirms that our solution is correct.

Algebra 2

Add, subtract, multiply, and divide polynomials

Full solution

(P+3) + 8 = 10

Rephrase Problem: First, let's rephrase the problem into a clear question prompt. $\newline$ question_prompt: What is the value of $P$ in the equation $(P+3)+8=10$ ?
Simplify Equation: Now, let's simplify the left side of the equation by combining like terms. $\newline$ $(P+3)+8 = P+3+8$ $\newline$ Combine the constant terms $3$ and $8$ . $\newline$ $P+11 = 10$
Isolate Variable: Next, we need to isolate $P$ on one side of the equation to solve for it. $\newline$ Subtract $11$ from both sides of the equation to get $P$ alone. $\newline$ $P+11-11 = 10-11$ $\newline$ This simplifies to: $\newline$ $P = -1$
Check Solution: Finally, let's check our solution by substituting $P$ back into the original equation to ensure it satisfies the equation. $\newline$ $(P+3)+8 = 10$ $\newline$ $(-1+3)+8 = 10$ $\newline$ $2+8 = 10$ $\newline$ $10 = 10$ $\newline$ This confirms that our solution is correct.