QuestionCell B21 What is the solution to this equation?
Studdy Solution
STEP 1
1. The equation is .
2. This is a linear equation in one variable, .
3. The goal is to find the value of that satisfies the equation.
STEP 2
1. Expand both sides of the equation.
2. Simplify the equation by combining like terms.
3. Isolate the variable .
4. Solve for .
5. Check the solution by substituting it back into the original equation.
STEP 3
Expand both sides of the equation:
Left side:
Right side:
The equation becomes:
STEP 4
Simplify the equation by moving all terms involving to one side and constant terms to the other side.
Add to both sides:
This simplifies to:
STEP 5
Isolate the variable by subtracting 28 from both sides:
Simplify the right side:
STEP 6
Solve for by dividing both sides by 4:
Simplify:
STEP 7
Check the solution by substituting back into the original equation:
Original equation:
Substitute :
Simplify both sides:
Left side:
Right side:
Both sides are equal, confirming the solution is correct.
The solution is:
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