0.5(4n-6)+0.1=0.3(5+2n)

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Solution for 0.5(4n-6)+0.1=0.3(5+2n) equation:


Simplifying
0.5(4n + -6) + 0.1 = 0.3(5 + 2n)

Reorder the terms:
0.5(-6 + 4n) + 0.1 = 0.3(5 + 2n)
(-6 * 0.5 + 4n * 0.5) + 0.1 = 0.3(5 + 2n)
(-3 + 2n) + 0.1 = 0.3(5 + 2n)

Reorder the terms:
-3 + 0.1 + 2n = 0.3(5 + 2n)

Combine like terms: -3 + 0.1 = -2.9
-2.9 + 2n = 0.3(5 + 2n)
-2.9 + 2n = (5 * 0.3 + 2n * 0.3)
-2.9 + 2n = (1.5 + 0.6n)

Solving
-2.9 + 2n = 1.5 + 0.6n

Solving for variable 'n'.

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

Add '-0.6n' to each side of the equation.
-2.9 + 2n + -0.6n = 1.5 + 0.6n + -0.6n

Combine like terms: 2n + -0.6n = 1.4n
-2.9 + 1.4n = 1.5 + 0.6n + -0.6n

Combine like terms: 0.6n + -0.6n = 0.0
-2.9 + 1.4n = 1.5 + 0.0
-2.9 + 1.4n = 1.5

Add '2.9' to each side of the equation.
-2.9 + 2.9 + 1.4n = 1.5 + 2.9

Combine like terms: -2.9 + 2.9 = 0.0
0.0 + 1.4n = 1.5 + 2.9
1.4n = 1.5 + 2.9

Combine like terms: 1.5 + 2.9 = 4.4
1.4n = 4.4

Divide each side by '1.4'.
n = 3.142857143

Simplifying
n = 3.142857143

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