Solve for p. 10 p-3=2(12+4p)-7 p=

Distribute the 2: First, we need to distribute the 2 into the parentheses on the right side of the equation. 2(12 + 4p) = 2 * 12 + 2 * 4p = 24 + 8pRewrite the equation: Now, we rewrite the equation with the distributed terms. 10p - 3 = 24 + 8p - 7Simplify the right side: Next, we simplify the right side of the equation by combining like terms (24 and -7). 10p - 3 = 24 - 7 + 8p 10p - 3 = 17 + 8pIsolate the variable p: We then isolate the variable p by moving all terms with p to one side and constants to the other side. We can subtract 8p from both sides to move the p terms to the left. 10p - 8p - 3 = 17 + 8p - 8p 2p - 3 = 17Add 3 to both sides: Now, we add 3 to both sides to isolate the term with p. 2p - 3 + 3 = 17 + 3 2p = 20Divide both sides by 2: Finally, we divide both sides by 2 to solve for p. 2p / 2 = 20 / 2 p = 10

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Solve for $p$ . $\newline$ $\begin{array}{l} 10 p-3=2(12+4 p)-7 \\ p=\square \end{array}$

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Algebra 1

Solve multi-step linear equations

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Q. Solve for

p

\newline

\begin{array}{l} 10 p-3=2(12+4 p)-7 \\ p=\square \end{array}

Distribute the $2$ : First, we need to distribute the $2$ into the parentheses on the right side of the equation. $\newline$ $2(12 + 4p) = 2 \times 12 + 2 \times 4p$ $\newline$ $= 24 + 8p$
Rewrite the equation: Now, we rewrite the equation with the distributed terms. $10p - 3 = 24 + 8p - 7$
Simplify the right side: Next, we simplify the right side of the equation by combining like terms ( $24$ and $-7$ ). $\newline$ $10p - 3 = 24 - 7 + 8p$ $\newline$ $10p - 3 = 17 + 8p$
Isolate the variable $p$ : We then isolate the variable $p$ by moving all terms with $p$ to one side and constants to the other side. We can subtract $8p$ from both sides to move the $p$ terms to the left. $\newline$ $10p - 8p - 3 = 17 + 8p - 8p$ $\newline$ $2p - 3 = 17$
Add $3$ to both sides: Now, we add $3$ to both sides to isolate the term with $p$ . $\newline$ $2p - 3 + 3 = 17 + 3$ $\newline$ $2p = 20$
Divide both sides by $2$ : Finally, we divide both sides by $2$ to solve for $p$ . $\frac{2p}{2} = \frac{20}{2}$ $p = 10$