Questions: To start solving this equation, you could distribute first or divide first. What's the value of h solve below, or solve on paper and then enter your answer on Zearn.
7(h-3) = 35
h =
Transcript text: To start solving this equation, you could distribute first or divide first. What's the value of $h$ solve below, or solve on paper and then enter your answer on Zearn.
$7(h-3)$
$=$
35
$h=$ $\square$
Solution
Solution Steps
To solve the equation \(7(h-3) = 35\), we can start by distributing the 7 to both terms inside the parentheses. Then, we can isolate \(h\) by performing basic algebraic operations.
Solution Approach
Distribute the 7 to both terms inside the parentheses.
Simplify the equation.
Isolate \(h\) by adding or subtracting terms and then dividing by the coefficient of \(h\).
Step 1: Distribute the 7
We start with the equation:
\[
7(h - 3) = 35
\]
Distributing the 7 gives us:
\[
7h - 21 = 35
\]
Step 2: Isolate \(h\)
Next, we add 21 to both sides of the equation:
\[
7h - 21 + 21 = 35 + 21
\]
This simplifies to:
\[
7h = 56
\]
Step 3: Solve for \(h\)
Now, we divide both sides by 7 to isolate \(h\):
\[
h = \frac{56}{7}
\]
This simplifies to:
\[
h = 8
\]