5(3n-2)=(5n+1)+7

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Solution for 5(3n-2)=(5n+1)+7 equation:


Simplifying
5(3n + -2) = (5n + 1) + 7

Reorder the terms:
5(-2 + 3n) = (5n + 1) + 7
(-2 * 5 + 3n * 5) = (5n + 1) + 7
(-10 + 15n) = (5n + 1) + 7

Reorder the terms:
-10 + 15n = (1 + 5n) + 7

Remove parenthesis around (1 + 5n)
-10 + 15n = 1 + 5n + 7

Reorder the terms:
-10 + 15n = 1 + 7 + 5n

Combine like terms: 1 + 7 = 8
-10 + 15n = 8 + 5n

Solving
-10 + 15n = 8 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-10 + 15n + -5n = 8 + 5n + -5n

Combine like terms: 15n + -5n = 10n
-10 + 10n = 8 + 5n + -5n

Combine like terms: 5n + -5n = 0
-10 + 10n = 8 + 0
-10 + 10n = 8

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

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

Combine like terms: 8 + 10 = 18
10n = 18

Divide each side by '10'.
n = 1.8

Simplifying
n = 1.8

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