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Step-1

Title: Solve the equation

Grade: 7-b Lesson: S2-L9

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Steps	Problem	Solution
1	Solve	\$ 27n^3 - 7n^3 - 10 = 10 \$
2	Move constant terms to the right side	\$ 27n^3 - 7n^3 = 10 + 10 \$
3	After Simplification	\$ 20n^3 = 20 \$
4	Dividing on both sides by '\$20\$' of the equality	\$ \cancel(20)^1/ \cancel(20)^1 n^3 = \cancel(20)^1/ \cancel(20)^1 \$
5	After cancelation	\$ n^3 = 1^3 \$
6	Applying cube root on both sides	\$ root3(n^3) = root3(1^3) \$
7	After canceling cube roots on both sides	\$ n = 1 \$
8	Answer	A = \$ n = 1 \$

Steps

Problem

Solution

Solve

\$ 27n^3 - 7n^3 - 10 = 10 \$

Move constant terms to the right side

\$ 27n^3 - 7n^3 = 10 + 10 \$

After Simplification

\$ 20n^3 = 20 \$

Dividing on both sides by '\$20\$' of the equality

\$ \cancel(20)^1/ \cancel(20)^1 n^3 = \cancel(20)^1/ \cancel(20)^1 \$

After cancelation

\$ n^3 = 1^3 \$

Applying cube root on both sides

\$ root3(n^3) = root3(1^3) \$

After canceling cube roots on both sides

\$ n = 1 \$

Answer

A = \$ n = 1 \$