8(n+5)=9n-2

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Solution for 8(n+5)=9n-2 equation:


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

Reorder the terms:
8(5 + n) = 9n + -2
(5 * 8 + n * 8) = 9n + -2
(40 + 8n) = 9n + -2

Reorder the terms:
40 + 8n = -2 + 9n

Solving
40 + 8n = -2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
40 + 8n + -9n = -2 + 9n + -9n

Combine like terms: 8n + -9n = -1n
40 + -1n = -2 + 9n + -9n

Combine like terms: 9n + -9n = 0
40 + -1n = -2 + 0
40 + -1n = -2

Add '-40' to each side of the equation.
40 + -40 + -1n = -2 + -40

Combine like terms: 40 + -40 = 0
0 + -1n = -2 + -40
-1n = -2 + -40

Combine like terms: -2 + -40 = -42
-1n = -42

Divide each side by '-1'.
n = 42

Simplifying
n = 42

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