5n+10=9(n-2)

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


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

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

Reorder the terms:
10 + 5n = 9(-2 + n)
10 + 5n = (-2 * 9 + n * 9)
10 + 5n = (-18 + 9n)

Solving
10 + 5n = -18 + 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.
10 + 5n + -9n = -18 + 9n + -9n

Combine like terms: 5n + -9n = -4n
10 + -4n = -18 + 9n + -9n

Combine like terms: 9n + -9n = 0
10 + -4n = -18 + 0
10 + -4n = -18

Add '-10' to each side of the equation.
10 + -10 + -4n = -18 + -10

Combine like terms: 10 + -10 = 0
0 + -4n = -18 + -10
-4n = -18 + -10

Combine like terms: -18 + -10 = -28
-4n = -28

Divide each side by '-4'.
n = 7

Simplifying
n = 7

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