18=10(1-9n)+2(4+5n)

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Solution for 18=10(1-9n)+2(4+5n) equation: 


Simplifying
18 = 10(1 + -9n) + 2(4 + 5n)
18 = (1 * 10 + -9n * 10) + 2(4 + 5n)
18 = (10 + -90n) + 2(4 + 5n)
18 = 10 + -90n + (4 * 2 + 5n * 2)
18 = 10 + -90n + (8 + 10n)

Reorder the terms:
18 = 10 + 8 + -90n + 10n

Combine like terms: 10 + 8 = 18
18 = 18 + -90n + 10n

Combine like terms: -90n + 10n = -80n
18 = 18 + -80n

Add '-18' to each side of the equation.
18 + -18 = 18 + -18 + -80n

Combine like terms: 18 + -18 = 0
0 = 18 + -18 + -80n

Combine like terms: 18 + -18 = 0
0 = 0 + -80n
0 = -80n

Solving
0 = -80n

Solving for variable 'n'.

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

Add '80n' to each side of the equation.
0 + 80n = -80n + 80n
Remove the zero:
80n = -80n + 80n

Combine like terms: -80n + 80n = 0
80n = 0

Divide each side by '80'.
n = 0

Simplifying
n = 0

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