4(2n+1)=3(6n-3)+1

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Solution for 4(2n+1)=3(6n-3)+1 equation: 


Simplifying
4(2n + 1) = 3(6n + -3) + 1

Reorder the terms:
4(1 + 2n) = 3(6n + -3) + 1
(1 * 4 + 2n * 4) = 3(6n + -3) + 1
(4 + 8n) = 3(6n + -3) + 1

Reorder the terms:
4 + 8n = 3(-3 + 6n) + 1
4 + 8n = (-3 * 3 + 6n * 3) + 1
4 + 8n = (-9 + 18n) + 1

Reorder the terms:
4 + 8n = -9 + 1 + 18n

Combine like terms: -9 + 1 = -8
4 + 8n = -8 + 18n

Solving
4 + 8n = -8 + 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.
4 + 8n + -18n = -8 + 18n + -18n

Combine like terms: 8n + -18n = -10n
4 + -10n = -8 + 18n + -18n

Combine like terms: 18n + -18n = 0
4 + -10n = -8 + 0
4 + -10n = -8

Add '-4' to each side of the equation.
4 + -4 + -10n = -8 + -4

Combine like terms: 4 + -4 = 0
0 + -10n = -8 + -4
-10n = -8 + -4

Combine like terms: -8 + -4 = -12
-10n = -12

Divide each side by '-10'.
n = 1.2

Simplifying
n = 1.2

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