8(n+10)=9(n-7)

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Solution for 8(n+10)=9(n-7) equation:


Simplifying
8(n + 10) = 9(n + -7)

Reorder the terms:
8(10 + n) = 9(n + -7)
(10 * 8 + n * 8) = 9(n + -7)
(80 + 8n) = 9(n + -7)

Reorder the terms:
80 + 8n = 9(-7 + n)
80 + 8n = (-7 * 9 + n * 9)
80 + 8n = (-63 + 9n)

Solving
80 + 8n = -63 + 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.
80 + 8n + -9n = -63 + 9n + -9n

Combine like terms: 8n + -9n = -1n
80 + -1n = -63 + 9n + -9n

Combine like terms: 9n + -9n = 0
80 + -1n = -63 + 0
80 + -1n = -63

Add '-80' to each side of the equation.
80 + -80 + -1n = -63 + -80

Combine like terms: 80 + -80 = 0
0 + -1n = -63 + -80
-1n = -63 + -80

Combine like terms: -63 + -80 = -143
-1n = -143

Divide each side by '-1'.
n = 143

Simplifying
n = 143

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