Solve for a. Give an exact answer. {:[3+0.5(4a+8)=9-2a],[a=◻]:}

Distribute 0.5 into (4a + 8): Simplify the equation by distributing 0.5 into (4a + 8). 0.5(4a) + 0.5(8) = 2a + 4 Now the equation is 3 + 2a + 4 = 9 - 2aCombine like terms on the left side: Combine like terms on the left side of the equation. 3 + 4 = 7, so now we have 7 + 2a = 9 - 2aAdd 2a to both sides: Add 2a to both sides of the equation to get all the a terms on one side. 7 + 2a + 2a = 9 - 2a + 2a This simplifies to 7 + 4a = 9Isolate the term with a: Subtract 7 from both sides of the equation to isolate the term with a. 7 + 4a - 7 = 9 - 7 This simplifies to 4a = 2Solve for a: Divide both sides of the equation by 4 to solve for a. 4a / 4 = 2 / 4 This simplifies to a = 0.5

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Solve for
a.
Give an exact answer.

{:[3+0.5(4a+8)=9-2a],[a=◻]:}

Solve for $a$ . $\newline$ Give an exact answer. $\newline$ $\begin{array}{l} 3+0.5(4 a+8)=9-2 a \\ a=\square \end{array}$

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Math Problems

Algebra 1

Solve multi-step linear equations

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Q. Solve for

a

\newline

Give an exact answer.

\newline

\begin{array}{l} 3+0.5(4 a+8)=9-2 a \\ a=\square \end{array}

Distribute $0.5$ into $(4a + 8)$ : Simplify the equation by distributing $0.5$ into $(4a + 8)$ . $\newline$ $0.5(4a) + 0.5(8) = 2a + 4$ $\newline$ Now the equation is $3 + 2a + 4 = 9 - 2a$
Combine like terms on the left side: Combine like terms on the left side of the equation. $3 + 4 = 7$ , so now we have $7 + 2a = 9 - 2a$
Add $2a$ to both sides: Add $2a$ to both sides of the equation to get all the $a$ terms on one side. $\newline$ $7 + 2a + 2a = 9 - 2a + 2a$ $\newline$ This simplifies to $7 + 4a = 9$
Isolate the term with $a$ : Subtract $7$ from both sides of the equation to isolate the term with $a$ .
$7 + 4a - 7 = 9 - 7$
This simplifies to $4a = 2$
Solve for a: Divide both sides of the equation by $4$ to solve for a. $\newline$ $\frac{4a}{4} = \frac{2}{4}$ $\newline$ This simplifies to $a = 0.5$