10-5(9n-9)=2n

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Solution for 10-5(9n-9)=2n equation:


Simplifying
10 + -5(9n + -9) = 2n

Reorder the terms:
10 + -5(-9 + 9n) = 2n
10 + (-9 * -5 + 9n * -5) = 2n
10 + (45 + -45n) = 2n

Combine like terms: 10 + 45 = 55
55 + -45n = 2n

Solving
55 + -45n = 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
55 + -45n + -2n = 2n + -2n

Combine like terms: -45n + -2n = -47n
55 + -47n = 2n + -2n

Combine like terms: 2n + -2n = 0
55 + -47n = 0

Add '-55' to each side of the equation.
55 + -55 + -47n = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -47n = 0 + -55
-47n = 0 + -55

Combine like terms: 0 + -55 = -55
-47n = -55

Divide each side by '-47'.
n = 1.170212766

Simplifying
n = 1.170212766

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