3(n+4)=1.2(6n+4)

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Solution for 3(n+4)=1.2(6n+4) equation:


Simplifying
3(n + 4) = 1.2(6n + 4)

Reorder the terms:
3(4 + n) = 1.2(6n + 4)
(4 * 3 + n * 3) = 1.2(6n + 4)
(12 + 3n) = 1.2(6n + 4)

Reorder the terms:
12 + 3n = 1.2(4 + 6n)
12 + 3n = (4 * 1.2 + 6n * 1.2)
12 + 3n = (4.8 + 7.2n)

Solving
12 + 3n = 4.8 + 7.2n

Solving for variable 'n'.

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

Add '-7.2n' to each side of the equation.
12 + 3n + -7.2n = 4.8 + 7.2n + -7.2n

Combine like terms: 3n + -7.2n = -4.2n
12 + -4.2n = 4.8 + 7.2n + -7.2n

Combine like terms: 7.2n + -7.2n = 0.0
12 + -4.2n = 4.8 + 0.0
12 + -4.2n = 4.8

Add '-12' to each side of the equation.
12 + -12 + -4.2n = 4.8 + -12

Combine like terms: 12 + -12 = 0
0 + -4.2n = 4.8 + -12
-4.2n = 4.8 + -12

Combine like terms: 4.8 + -12 = -7.2
-4.2n = -7.2

Divide each side by '-4.2'.
n = 1.714285714

Simplifying
n = 1.714285714

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