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

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


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

Reorder the terms:
4(3 + n) = 6(2n)
(3 * 4 + n * 4) = 6(2n)
(12 + 4n) = 6(2n)

Remove parenthesis around (2n)
12 + 4n = 6 * 2n

Multiply 6 * 2
12 + 4n = 12n

Solving
12 + 4n = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
12 + 4n + -12n = 12n + -12n

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

Combine like terms: 12n + -12n = 0
12 + -8n = 0

Add '-12' to each side of the equation.
12 + -12 + -8n = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -8n = 0 + -12
-8n = 0 + -12

Combine like terms: 0 + -12 = -12
-8n = -12

Divide each side by '-8'.
n = 1.5

Simplifying
n = 1.5

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