7(3n-3)=(8n+5)+5

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Solution for 7(3n-3)=(8n+5)+5 equation:


Simplifying
7(3n + -3) = (8n + 5) + 5

Reorder the terms:
7(-3 + 3n) = (8n + 5) + 5
(-3 * 7 + 3n * 7) = (8n + 5) + 5
(-21 + 21n) = (8n + 5) + 5

Reorder the terms:
-21 + 21n = (5 + 8n) + 5

Remove parenthesis around (5 + 8n)
-21 + 21n = 5 + 8n + 5

Reorder the terms:
-21 + 21n = 5 + 5 + 8n

Combine like terms: 5 + 5 = 10
-21 + 21n = 10 + 8n

Solving
-21 + 21n = 10 + 8n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-8n' to each side of the equation.
-21 + 21n + -8n = 10 + 8n + -8n

Combine like terms: 21n + -8n = 13n
-21 + 13n = 10 + 8n + -8n

Combine like terms: 8n + -8n = 0
-21 + 13n = 10 + 0
-21 + 13n = 10

Add '21' to each side of the equation.
-21 + 21 + 13n = 10 + 21

Combine like terms: -21 + 21 = 0
0 + 13n = 10 + 21
13n = 10 + 21

Combine like terms: 10 + 21 = 31
13n = 31

Divide each side by '13'.
n = 2.384615385

Simplifying
n = 2.384615385

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