Solving Equations with Distributive Property
This page continues with a second example problem, demonstrating how to apply the distributive property in a more complex equation.
Problem 2: 7 - 12a+3 = 12
Step 1: Distribute -1
- Multiply -1 by each term inside the parentheses: 7 - 2a - 3 = 12
Step 2: Combine like terms
- Simplify the left side of the equation: 4 - 2a = 12
Step 3: Remove the constant
- Subtract 4 from both sides: -2a = 8
Step 4: Isolate the variable
- Divide both sides by -2: a = -4
Step 5: Solved
Example: In the problem 7 - 12a+3 = 12, we distribute -1 to both 2a and 3, resulting in 7 - 2a - 3 = 12.
Highlight: This problem demonstrates how to do distributive property with variables on both sides of the equation.
This example showcases a more advanced application of the distributive property with variables and exponents, which is typical in 6th Grade Distributive Property Worksheet PDF exercises and Khan Academy distributive property with variables lessons.