8(3n+4)=7(7n+8)+6

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Solution for 8(3n+4)=7(7n+8)+6 equation: 


Simplifying
8(3n + 4) = 7(7n + 8) + 6

Reorder the terms:
8(4 + 3n) = 7(7n + 8) + 6
(4 * 8 + 3n * 8) = 7(7n + 8) + 6
(32 + 24n) = 7(7n + 8) + 6

Reorder the terms:
32 + 24n = 7(8 + 7n) + 6
32 + 24n = (8 * 7 + 7n * 7) + 6
32 + 24n = (56 + 49n) + 6

Reorder the terms:
32 + 24n = 56 + 6 + 49n

Combine like terms: 56 + 6 = 62
32 + 24n = 62 + 49n

Solving
32 + 24n = 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.
32 + 24n + -49n = 62 + 49n + -49n

Combine like terms: 24n + -49n = -25n
32 + -25n = 62 + 49n + -49n

Combine like terms: 49n + -49n = 0
32 + -25n = 62 + 0
32 + -25n = 62

Add '-32' to each side of the equation.
32 + -32 + -25n = 62 + -32

Combine like terms: 32 + -32 = 0
0 + -25n = 62 + -32
-25n = 62 + -32

Combine like terms: 62 + -32 = 30
-25n = 30

Divide each side by '-25'.
n = -1.2

Simplifying
n = -1.2

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