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 =

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 $h=$ $\square$
failed

Solution

failed
failed

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
  1. Distribute the 7 to both terms inside the parentheses.
  2. Simplify the equation.
  3. 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: \[ h = 8 \]

Final Answer

\(\boxed{h = 8}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful