9(n-2)=8(n-1)

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Solution for 9(n-2)=8(n-1) equation:


Simplifying
9(n + -2) = 8(n + -1)

Reorder the terms:
9(-2 + n) = 8(n + -1)
(-2 * 9 + n * 9) = 8(n + -1)
(-18 + 9n) = 8(n + -1)

Reorder the terms:
-18 + 9n = 8(-1 + n)
-18 + 9n = (-1 * 8 + n * 8)
-18 + 9n = (-8 + 8n)

Solving
-18 + 9n = -8 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-18 + 9n + -8n = -8 + 8n + -8n

Combine like terms: 9n + -8n = 1n
-18 + 1n = -8 + 8n + -8n

Combine like terms: 8n + -8n = 0
-18 + 1n = -8 + 0
-18 + 1n = -8

Add '18' to each side of the equation.
-18 + 18 + 1n = -8 + 18

Combine like terms: -18 + 18 = 0
0 + 1n = -8 + 18
1n = -8 + 18

Combine like terms: -8 + 18 = 10
1n = 10

Divide each side by '1'.
n = 10

Simplifying
n = 10

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