2(n+.33)=1.5n+1+3n-.33

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Solution for 2(n+.33)=1.5n+1+3n-.33 equation:


Simplifying
2(n + 0.33) = 1.5n + 1 + 3n + -0.33

Reorder the terms:
2(0.33 + n) = 1.5n + 1 + 3n + -0.33
(0.33 * 2 + n * 2) = 1.5n + 1 + 3n + -0.33
(0.66 + 2n) = 1.5n + 1 + 3n + -0.33

Reorder the terms:
0.66 + 2n = 1 + -0.33 + 1.5n + 3n

Combine like terms: 1 + -0.33 = 0.67
0.66 + 2n = 0.67 + 1.5n + 3n

Combine like terms: 1.5n + 3n = 4.5n
0.66 + 2n = 0.67 + 4.5n

Solving
0.66 + 2n = 0.67 + 4.5n

Solving for variable 'n'.

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

Add '-4.5n' to each side of the equation.
0.66 + 2n + -4.5n = 0.67 + 4.5n + -4.5n

Combine like terms: 2n + -4.5n = -2.5n
0.66 + -2.5n = 0.67 + 4.5n + -4.5n

Combine like terms: 4.5n + -4.5n = 0.0
0.66 + -2.5n = 0.67 + 0.0
0.66 + -2.5n = 0.67

Add '-0.66' to each side of the equation.
0.66 + -0.66 + -2.5n = 0.67 + -0.66

Combine like terms: 0.66 + -0.66 = 0.00
0.00 + -2.5n = 0.67 + -0.66
-2.5n = 0.67 + -0.66

Combine like terms: 0.67 + -0.66 = 0.01
-2.5n = 0.01

Divide each side by '-2.5'.
n = -0.004

Simplifying
n = -0.004

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