0.33(n+1)=0.16(3n-5)

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Solution for 0.33(n+1)=0.16(3n-5) equation: 


Simplifying
0.33(n + 1) = 0.16(3n + -5)

Reorder the terms:
0.33(1 + n) = 0.16(3n + -5)
(1 * 0.33 + n * 0.33) = 0.16(3n + -5)
(0.33 + 0.33n) = 0.16(3n + -5)

Reorder the terms:
0.33 + 0.33n = 0.16(-5 + 3n)
0.33 + 0.33n = (-5 * 0.16 + 3n * 0.16)
0.33 + 0.33n = (-0.8 + 0.48n)

Solving
0.33 + 0.33n = -0.8 + 0.48n

Solving for variable 'n'.

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

Add '-0.48n' to each side of the equation.
0.33 + 0.33n + -0.48n = -0.8 + 0.48n + -0.48n

Combine like terms: 0.33n + -0.48n = -0.15n
0.33 + -0.15n = -0.8 + 0.48n + -0.48n

Combine like terms: 0.48n + -0.48n = 0.00
0.33 + -0.15n = -0.8 + 0.00
0.33 + -0.15n = -0.8

Add '-0.33' to each side of the equation.
0.33 + -0.33 + -0.15n = -0.8 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + -0.15n = -0.8 + -0.33
-0.15n = -0.8 + -0.33

Combine like terms: -0.8 + -0.33 = -1.13
-0.15n = -1.13

Divide each side by '-0.15'.
n = 7.533333333

Simplifying
n = 7.533333333

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