4(8n+3)-5=3(6n+8)+1

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Solution for 4(8n+3)-5=3(6n+8)+1 equation:


Simplifying
4(8n + 3) + -5 = 3(6n + 8) + 1

Reorder the terms:
4(3 + 8n) + -5 = 3(6n + 8) + 1
(3 * 4 + 8n * 4) + -5 = 3(6n + 8) + 1
(12 + 32n) + -5 = 3(6n + 8) + 1

Reorder the terms:
12 + -5 + 32n = 3(6n + 8) + 1

Combine like terms: 12 + -5 = 7
7 + 32n = 3(6n + 8) + 1

Reorder the terms:
7 + 32n = 3(8 + 6n) + 1
7 + 32n = (8 * 3 + 6n * 3) + 1
7 + 32n = (24 + 18n) + 1

Reorder the terms:
7 + 32n = 24 + 1 + 18n

Combine like terms: 24 + 1 = 25
7 + 32n = 25 + 18n

Solving
7 + 32n = 25 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
7 + 32n + -18n = 25 + 18n + -18n

Combine like terms: 32n + -18n = 14n
7 + 14n = 25 + 18n + -18n

Combine like terms: 18n + -18n = 0
7 + 14n = 25 + 0
7 + 14n = 25

Add '-7' to each side of the equation.
7 + -7 + 14n = 25 + -7

Combine like terms: 7 + -7 = 0
0 + 14n = 25 + -7
14n = 25 + -7

Combine like terms: 25 + -7 = 18
14n = 18

Divide each side by '14'.
n = 1.285714286

Simplifying
n = 1.285714286

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