0.9(3.1n+0.4)-0.1(-n+3.29)=3.21

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Solution for 0.9(3.1n+0.4)-0.1(-n+3.29)=3.21 equation: 


Simplifying
0.9(3.1n + 0.4) + -0.1(-1n + 3.29) = 3.21

Reorder the terms:
0.9(0.4 + 3.1n) + -0.1(-1n + 3.29) = 3.21
(0.4 * 0.9 + 3.1n * 0.9) + -0.1(-1n + 3.29) = 3.21
(0.36 + 2.79n) + -0.1(-1n + 3.29) = 3.21

Reorder the terms:
0.36 + 2.79n + -0.1(3.29 + -1n) = 3.21
0.36 + 2.79n + (3.29 * -0.1 + -1n * -0.1) = 3.21
0.36 + 2.79n + (-0.329 + 0.1n) = 3.21

Reorder the terms:
0.36 + -0.329 + 2.79n + 0.1n = 3.21

Combine like terms: 0.36 + -0.329 = 0.031
0.031 + 2.79n + 0.1n = 3.21

Combine like terms: 2.79n + 0.1n = 2.89n
0.031 + 2.89n = 3.21

Solving
0.031 + 2.89n = 3.21

Solving for variable 'n'.

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

Add '-0.031' to each side of the equation.
0.031 + -0.031 + 2.89n = 3.21 + -0.031

Combine like terms: 0.031 + -0.031 = 0.000
0.000 + 2.89n = 3.21 + -0.031
2.89n = 3.21 + -0.031

Combine like terms: 3.21 + -0.031 = 3.179
2.89n = 3.179

Divide each side by '2.89'.
n = 1.1

Simplifying
n = 1.1

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