3(n-1)=1.5(n+2)

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Solution for 3(n-1)=1.5(n+2) equation:


Simplifying
3(n + -1) = 1.5(n + 2)

Reorder the terms:
3(-1 + n) = 1.5(n + 2)
(-1 * 3 + n * 3) = 1.5(n + 2)
(-3 + 3n) = 1.5(n + 2)

Reorder the terms:
-3 + 3n = 1.5(2 + n)
-3 + 3n = (2 * 1.5 + n * 1.5)
-3 + 3n = (3 + 1.5n)

Solving
-3 + 3n = 3 + 1.5n

Solving for variable 'n'.

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

Add '-1.5n' to each side of the equation.
-3 + 3n + -1.5n = 3 + 1.5n + -1.5n

Combine like terms: 3n + -1.5n = 1.5n
-3 + 1.5n = 3 + 1.5n + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
-3 + 1.5n = 3 + 0.0
-3 + 1.5n = 3

Add '3' to each side of the equation.
-3 + 3 + 1.5n = 3 + 3

Combine like terms: -3 + 3 = 0
0 + 1.5n = 3 + 3
1.5n = 3 + 3

Combine like terms: 3 + 3 = 6
1.5n = 6

Divide each side by '1.5'.
n = 4

Simplifying
n = 4

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