1.6n+0.8=(n+10)(0.7)+0.1

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Solution for 1.6n+0.8=(n+10)(0.7)+0.1 equation: 


Simplifying
1.6n + 0.8 = (n + 10)(0.7) + 0.1

Reorder the terms:
0.8 + 1.6n = (n + 10)(0.7) + 0.1

Reorder the terms:
0.8 + 1.6n = (10 + n)(0.7) + 0.1

Reorder the terms for easier multiplication:
0.8 + 1.6n = 0.7(10 + n) + 0.1
0.8 + 1.6n = (10 * 0.7 + n * 0.7) + 0.1
0.8 + 1.6n = (7 + 0.7n) + 0.1

Reorder the terms:
0.8 + 1.6n = 7 + 0.1 + 0.7n

Combine like terms: 7 + 0.1 = 7.1
0.8 + 1.6n = 7.1 + 0.7n

Solving
0.8 + 1.6n = 7.1 + 0.7n

Solving for variable 'n'.

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

Add '-0.7n' to each side of the equation.
0.8 + 1.6n + -0.7n = 7.1 + 0.7n + -0.7n

Combine like terms: 1.6n + -0.7n = 0.9n
0.8 + 0.9n = 7.1 + 0.7n + -0.7n

Combine like terms: 0.7n + -0.7n = 0.0
0.8 + 0.9n = 7.1 + 0.0
0.8 + 0.9n = 7.1

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.9n = 7.1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.9n = 7.1 + -0.8
0.9n = 7.1 + -0.8

Combine like terms: 7.1 + -0.8 = 6.3
0.9n = 6.3

Divide each side by '0.9'.
n = 7

Simplifying
n = 7

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