3.8=0.5(7n-4.6)

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Solution for 3.8=0.5(7n-4.6) equation: 


Simplifying
3.8 = 0.5(7n + -4.6)

Reorder the terms:
3.8 = 0.5(-4.6 + 7n)
3.8 = (-4.6 * 0.5 + 7n * 0.5)
3.8 = (-2.3 + 3.5n)

Solving
3.8 = -2.3 + 3.5n

Solving for variable 'n'.

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

Add '-3.5n' to each side of the equation.
3.8 + -3.5n = -2.3 + 3.5n + -3.5n

Combine like terms: 3.5n + -3.5n = 0.0
3.8 + -3.5n = -2.3 + 0.0
3.8 + -3.5n = -2.3

Add '-3.8' to each side of the equation.
3.8 + -3.8 + -3.5n = -2.3 + -3.8

Combine like terms: 3.8 + -3.8 = 0.0
0.0 + -3.5n = -2.3 + -3.8
-3.5n = -2.3 + -3.8

Combine like terms: -2.3 + -3.8 = -6.1
-3.5n = -6.1

Divide each side by '-3.5'.
n = 1.742857143

Simplifying
n = 1.742857143

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