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Back to unit 6 Solving Equations Study Guide Multiplication and Division When solving one step equations always use inverse operations. Remember you must always keep the equation balanced. The inverse of multiplication is division and The inverse of division is multiplication and When multiplying by a fraction, multiply both sides by its reciprocal See the examples below: Since the inverse of multiplication is division, divide both sides by 3 3n = 27 3 3 n =9 n 8 =6 (8) n = 6 (8) 8 n = 48 Since the inverse of division is multiplication, multiply both sides by 8 After you have solved for the variable, check your answer using substitution. Follow the simple steps for checking: Step 1 - Rewrite the problem Step 2 – Plug in your answer Step 3 – Work it out 3n = 27 n =6 3 • 9 = 27 27 = 27 8 48 = 6 8 6=6 If the equation does not work, try again!