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Two-step equations
Equations that require two operations to isolate the variable.
Inverse operations
Operations that undo each other, such as addition and subtraction.
Rule of balance
The principle that states you must perform the same operation on both sides of an equation to maintain equality.
Coefficient
A numerical factor in a term of an algebraic expression, often multiplying the variable.
Checking the receipts
The process of substituting the solution back into the original equation to verify its correctness.
Handling fractions in equations
Treated as division problems to simplify the solving process.
Farther number
Refers to the number that is farther from the variable in the equation, which needs to be addressed first.
Common mistakes with negative coefficients
Errors that arise when incorrectly applying operations with negative numbers during isolation of the variable.