Question Add 18 to both sides Subtract 18 from both sides Multiply both sides by 18 Divide both sides by 18 Apply the distributive property
Studdy Solution
STEP 1
1. The equation is given, and we need to solve for .
2. The equation is also given, indicating the solution for .
3. We will perform various operations on the equation to understand their effects.
4. The operations include addition, subtraction, multiplication, division, and applying the distributive property.
STEP 2
1. Solve the equation .
2. Verify the solution .
3. Add 18 to both sides of the equation.
4. Subtract 18 from both sides of the equation.
5. Multiply both sides of the equation by 18.
6. Divide both sides of the equation by 18.
7. Apply the distributive property.
STEP 3
To solve the equation , divide both sides by 49 to isolate :
Simplify:
STEP 4
Verify the solution by substituting it back into the original equation:
The left-hand side equals the right-hand side, confirming that is correct.
STEP 5
Add 18 to both sides of the equation :
Simplify:
STEP 6
Subtract 18 from both sides of the equation :
Simplify:
STEP 7
Multiply both sides of the equation by 18:
Simplify:
STEP 8
Divide both sides of the equation by 18:
Simplify:
STEP 9
Apply the distributive property to an expression involving . For example, consider the expression :
Using the distributive property:
Simplify:
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