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Solve for $p$ . $\newline$ $5p = 4\left(\frac{1}{2}p - 1\right)$ $\newline$ $p =$ __

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Solve multi-step equations with fractional coefficients

Full solution

Q. Solve for

p

.

\newline

5p = 4\left(\frac{1}{2}p - 1\right)

\newline

p =

__

Distribute $4$ : Distribute $4$ into the parentheses. $\newline$ Calculation: $4 \times (\frac{1}{2}p - 1) = 4 \times \frac{1}{2}p - 4 \times 1 = 2p - 4$
Rewrite equation: Rewrite the equation with distributed terms. $\newline$ Calculation: $5p = 2p - 4$
Isolate $p$ : Isolate $p$ by subtracting $2p$ from both sides. $\newline$ Calculation: $5p - 2p = 2p - 4 - 2p$ $\newline$ $5p - 2p = -4$ $\newline$ $3p = -4$
Solve for $p$ : Solve for $p$ by dividing both sides by $3$ . $\newline$ Calculation: $p = -\frac{4}{3}$

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