2(3+5n)+6=4(2n+5)+6

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Solution for 2(3+5n)+6=4(2n+5)+6 equation: 


Simplifying
2(3 + 5n) + 6 = 4(2n + 5) + 6
(3 * 2 + 5n * 2) + 6 = 4(2n + 5) + 6
(6 + 10n) + 6 = 4(2n + 5) + 6

Reorder the terms:
6 + 6 + 10n = 4(2n + 5) + 6

Combine like terms: 6 + 6 = 12
12 + 10n = 4(2n + 5) + 6

Reorder the terms:
12 + 10n = 4(5 + 2n) + 6
12 + 10n = (5 * 4 + 2n * 4) + 6
12 + 10n = (20 + 8n) + 6

Reorder the terms:
12 + 10n = 20 + 6 + 8n

Combine like terms: 20 + 6 = 26
12 + 10n = 26 + 8n

Solving
12 + 10n = 26 + 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.
12 + 10n + -8n = 26 + 8n + -8n

Combine like terms: 10n + -8n = 2n
12 + 2n = 26 + 8n + -8n

Combine like terms: 8n + -8n = 0
12 + 2n = 26 + 0
12 + 2n = 26

Add '-12' to each side of the equation.
12 + -12 + 2n = 26 + -12

Combine like terms: 12 + -12 = 0
0 + 2n = 26 + -12
2n = 26 + -12

Combine like terms: 26 + -12 = 14
2n = 14

Divide each side by '2'.
n = 7

Simplifying
n = 7

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