Math Problem Statement
Solution
To solve the equation for , let's follow these steps:
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Isolate the term with :
Subtract from both sides:
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Solve for :
Divide every term by 6 to isolate :
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Simplify the equation:
Simplify each term:
This corresponds to option (b) , which looks different but is not simplified correctly. The equation obtained is:
Unfortunately, none of the provided options match exactly after the complete simplification.
Would you like more details on this or further assistance with another problem?
Relative Questions:
- What does it mean to "solve for " in an equation?
- How do you isolate a variable in a linear equation?
- How can simplifying fractions in algebraic expressions help solve equations?
- Why is it important to check your answer against the original equation?
- What is the difference between solving equations in standard form and slope-intercept form?
Tip: Always double-check the options given in multiple-choice questions after solving to ensure proper simplification and matching with choices.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Solving for Variables
Formulas
y = (mx + b)
Theorems
Linear Equation Solving
Suitable Grade Level
Grades 6-8