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$Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31 p+79 > -59 p+81$

Solve for $p$ . Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. $\newline$ -31p + 79 > -59p + 81

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Solve multi-step inequalities

Full solution

Q. Solve for

p

. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

\newline

-31p + 79 > -59p + 81

Isolate variable term: Isolate the variable term on one side of the inequality by adding $59p$ to both sides. $\newline$ -31p + 79 + 59p > -59p + 81 + 59p $\newline$ Combine like terms. $\newline$ 28p + 79 > 81
Combine like terms: Subtract $79$ from both sides to isolate the term with the variable $p$ . $\newline$ 28p + 79 - 79 > 81 - 79 $\newline$ Simplify both sides. $\newline$ 28p > 2
Subtract to isolate term: Divide both sides by $28$ to solve for $p$ . $\newline$ \frac{28p}{28} > \frac{2}{28} $\newline$ Simplify the fraction on the right side. $\newline$ p > \frac{1}{14}

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