.60(10n-3)=1.5(n+2)-0.3

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Solution for .60(10n-3)=1.5(n+2)-0.3 equation: 


Simplifying
0.60(10n + -3) = 1.5(n + 2) + -0.3

Reorder the terms:
0.60(-3 + 10n) = 1.5(n + 2) + -0.3
(-3 * 0.60 + 10n * 0.60) = 1.5(n + 2) + -0.3
(-1.8 + 6n) = 1.5(n + 2) + -0.3

Reorder the terms:
-1.8 + 6n = 1.5(2 + n) + -0.3
-1.8 + 6n = (2 * 1.5 + n * 1.5) + -0.3
-1.8 + 6n = (3 + 1.5n) + -0.3

Reorder the terms:
-1.8 + 6n = 3 + -0.3 + 1.5n

Combine like terms: 3 + -0.3 = 2.7
-1.8 + 6n = 2.7 + 1.5n

Solving
-1.8 + 6n = 2.7 + 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.
-1.8 + 6n + -1.5n = 2.7 + 1.5n + -1.5n

Combine like terms: 6n + -1.5n = 4.5n
-1.8 + 4.5n = 2.7 + 1.5n + -1.5n

Combine like terms: 1.5n + -1.5n = 0.0
-1.8 + 4.5n = 2.7 + 0.0
-1.8 + 4.5n = 2.7

Add '1.8' to each side of the equation.
-1.8 + 1.8 + 4.5n = 2.7 + 1.8

Combine like terms: -1.8 + 1.8 = 0.0
0.0 + 4.5n = 2.7 + 1.8
4.5n = 2.7 + 1.8

Combine like terms: 2.7 + 1.8 = 4.5
4.5n = 4.5

Divide each side by '4.5'.
n = 1

Simplifying
n = 1

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