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

Reorder the terms for easier multiplication:
4 + 8n = 3 * 1(3 + 6n)

Multiply 3 * 1
4 + 8n = 3(3 + 6n)
4 + 8n = (3 * 3 + 6n * 3)
4 + 8n = (9 + 18n)

Solving
4 + 8n = 9 + 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 = 9 + 18n + -18n

Combine like terms: 8n + -18n = -10n
4 + -10n = 9 + 18n + -18n

Combine like terms: 18n + -18n = 0
4 + -10n = 9 + 0
4 + -10n = 9

Add '-4' to each side of the equation.
4 + -4 + -10n = 9 + -4

Combine like terms: 4 + -4 = 0
0 + -10n = 9 + -4
-10n = 9 + -4

Combine like terms: 9 + -4 = 5
-10n = 5

Divide each side by '-10'.
n = -0.5

Simplifying
n = -0.5

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