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 = -4
-10n = -4

Divide each side by '-10'.
n = 0.4

Simplifying
n = 0.4

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