2.3(n-10)+2.2n=1.5n-4

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Solution for 2.3(n-10)+2.2n=1.5n-4 equation: 


Simplifying
2.3(n + -10) + 2.2n = 1.5n + -4

Reorder the terms:
2.3(-10 + n) + 2.2n = 1.5n + -4
(-10 * 2.3 + n * 2.3) + 2.2n = 1.5n + -4
(-23 + 2.3n) + 2.2n = 1.5n + -4

Combine like terms: 2.3n + 2.2n = 4.5n
-23 + 4.5n = 1.5n + -4

Reorder the terms:
-23 + 4.5n = -4 + 1.5n

Solving
-23 + 4.5n = -4 + 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.
-23 + 4.5n + -1.5n = -4 + 1.5n + -1.5n

Combine like terms: 4.5n + -1.5n = 3n
-23 + 3n = -4 + 1.5n + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
-23 + 3n = -4 + 0.0
-23 + 3n = -4

Add '23' to each side of the equation.
-23 + 23 + 3n = -4 + 23

Combine like terms: -23 + 23 = 0
0 + 3n = -4 + 23
3n = -4 + 23

Combine like terms: -4 + 23 = 19
3n = 19

Divide each side by '3'.
n = 6.333333333

Simplifying
n = 6.333333333

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