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Q33.

Expert-verified
Found in: Page 133

### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776

# Logical Reasoning Copy and complete the steps for solving the equations shown. Use properties to justify as many steps as possible.

$\begin{array}{l}5t-24=8t\text{}\underset{¯}{\text{write the original equation}}\\ 5t-24-5t=8t-5t\text{}\underset{¯}{\text{subtract 5t from both sides}}\\ -24=3t\text{}\underset{¯}{\text{simplify}}\\ -\frac{24}{3}=\frac{3t}{3}\text{}\underset{¯}{\text{divide each side by 3}}\\ -8\text{=}t\text{}\underset{¯}{\text{simplify}}\end{array}$

See the step by step solution

## Step-1 – Given

The given steps are:

## Step-2 – To determine

We have to find the proper reasons for the given steps.

## Step-3 – Calculation

The reasons for each step are as follows,

$\begin{array}{l}5t-24=8t\text{write the original equation}\\ 5t-24-5t=8t-5t\text{subtract}5t\text{from both sides}\\ -24=3t\text{simplify}\\ -\frac{24}{3}=\frac{3t}{3}\text{divide each side by 3}\\ -8\text{}=t\text{simplify}\end{array}$