10(n-1)+1-(n-2)=30

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Solution for 10(n-1)+1-(n-2)=30 equation: 


Simplifying
10(n + -1) + 1 + -1(n + -2) = 30

Reorder the terms:
10(-1 + n) + 1 + -1(n + -2) = 30
(-1 * 10 + n * 10) + 1 + -1(n + -2) = 30
(-10 + 10n) + 1 + -1(n + -2) = 30

Reorder the terms:
-10 + 10n + 1 + -1(-2 + n) = 30
-10 + 10n + 1 + (-2 * -1 + n * -1) = 30
-10 + 10n + 1 + (2 + -1n) = 30

Reorder the terms:
-10 + 1 + 2 + 10n + -1n = 30

Combine like terms: -10 + 1 = -9
-9 + 2 + 10n + -1n = 30

Combine like terms: -9 + 2 = -7
-7 + 10n + -1n = 30

Combine like terms: 10n + -1n = 9n
-7 + 9n = 30

Solving
-7 + 9n = 30

Solving for variable 'n'.

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

Add '7' to each side of the equation.
-7 + 7 + 9n = 30 + 7

Combine like terms: -7 + 7 = 0
0 + 9n = 30 + 7
9n = 30 + 7

Combine like terms: 30 + 7 = 37
9n = 37

Divide each side by '9'.
n = 4.111111111

Simplifying
n = 4.111111111

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