translate to an algebra statement.
seven times the difference of six and twice a number yields the same result as the same number decreased by one
7(6-2n)=n-1
Seven times the difference of six and a twice a number yields the same result as the same number decreased by one.
Let's break down the statement step by step to translate it into an algebraic equation.
Step 1: Identify the unknown number.
Let's call the unknown number "x."
Step 2: Determine the difference of six and twice the number.
Twice the number is 2x, and the difference of six and 2x is 6 - 2x.
Step 3: Multiply the difference by seven.
Seven times the difference is 7 * (6 - 2x), which can be written as 7(6 - 2x).
Step 4: Express the second part of the statement.
The same number (x) decreased by one can be written as x - 1.
Putting it all together, we have the translated algebra statement:
7(6 - 2x) = x - 1