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Solve the equation. Check your solution.
-3p+3=12
The solution set is _____.

Solve the equation. Check your solution.\newline3p+3=12-3 p+3=12\newlineThe solution set is _____\_\_\_\_\_.

Full solution

Q. Solve the equation. Check your solution.\newline3p+3=12-3 p+3=12\newlineThe solution set is _____\_\_\_\_\_.
  1. Isolate variable term: Isolate the variable term on one side of the equation.\newlineTo do this, we subtract 33 from both sides of the equation to get 3p-3p on one side.\newline3p+33=123-3p + 3 - 3 = 12 - 3\newlineThis simplifies to:\newline3p=9-3p = 9
  2. Solve for p: Solve for p by dividing both sides of the equation by -3").\(\newline\$-3p / -3 = 9 / -3\)\(\newline\)This simplifies to:\(\newline\)\(p = -3\)
  3. Check solution: Check the solution by substituting \(p = -3\) back into the original equation.\(\newline\)\(-3(-3) + 3 = 12\)\(\newline\)\(9 + 3 = 12\)\(\newline\)\(12 = 12\)\(\newline\)The left side of the equation equals the right side, which means our solution is correct.

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