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Solve for $p$ . $\newline$ $6 + 15p - 15 = 17p + 19$ $\newline$ $p =$ ____

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Solve linear equations

Full solution

Q. Solve for

p

.

\newline

6 + 15p - 15 = 17p + 19

\newline

p =

____

Combine like terms: Simplify both sides of the equation by combining like terms. $\newline$ On the left side, combine the constants $6$ and $-15$ . $\newline$ $6 + 15p - 15 = 17p + 19$ $\newline$ $15p - 9 = 17p + 19$
Move terms to isolate variable: Move the variable terms to one side and the constant terms to the other side. $\newline$ Subtract $15p$ from both sides to move the variable terms to the right side. $\newline$ $15p - 9 - 15p = 17p + 19 - 15p$ $\newline$ $-9 = 2p + 19$
Isolate variable term: Continue to isolate the variable term $p$ . Subtract $19$ from both sides to move the constant terms to the left side. $-9 - 19 = 2p + 19 - 19$ $-28 = 2p$
Solve for $p$ : Solve for $p$ by dividing both sides by the coefficient of $p$ . $\newline$ Divide both sides by $2$ . $\newline$ $(-28) / 2 = 2p / 2$ $\newline$ $p = -14$

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