2(3n+5)=7(7n+8)+6

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Solution for 2(3n+5)=7(7n+8)+6 equation: 


Simplifying
2(3n + 5) = 7(7n + 8) + 6

Reorder the terms:
2(5 + 3n) = 7(7n + 8) + 6
(5 * 2 + 3n * 2) = 7(7n + 8) + 6
(10 + 6n) = 7(7n + 8) + 6

Reorder the terms:
10 + 6n = 7(8 + 7n) + 6
10 + 6n = (8 * 7 + 7n * 7) + 6
10 + 6n = (56 + 49n) + 6

Reorder the terms:
10 + 6n = 56 + 6 + 49n

Combine like terms: 56 + 6 = 62
10 + 6n = 62 + 49n

Solving
10 + 6n = 62 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
10 + 6n + -49n = 62 + 49n + -49n

Combine like terms: 6n + -49n = -43n
10 + -43n = 62 + 49n + -49n

Combine like terms: 49n + -49n = 0
10 + -43n = 62 + 0
10 + -43n = 62

Add '-10' to each side of the equation.
10 + -10 + -43n = 62 + -10

Combine like terms: 10 + -10 = 0
0 + -43n = 62 + -10
-43n = 62 + -10

Combine like terms: 62 + -10 = 52
-43n = 52

Divide each side by '-43'.
n = -1.209302326

Simplifying
n = -1.209302326

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