4n+9=10n-18

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Solution for 4n+9=10n-18 equation:


Simplifying
4n + 9 = 10n + -18

Reorder the terms:
9 + 4n = 10n + -18

Reorder the terms:
9 + 4n = -18 + 10n

Solving
9 + 4n = -18 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
9 + 4n + -10n = -18 + 10n + -10n

Combine like terms: 4n + -10n = -6n
9 + -6n = -18 + 10n + -10n

Combine like terms: 10n + -10n = 0
9 + -6n = -18 + 0
9 + -6n = -18

Add '-9' to each side of the equation.
9 + -9 + -6n = -18 + -9

Combine like terms: 9 + -9 = 0
0 + -6n = -18 + -9
-6n = -18 + -9

Combine like terms: -18 + -9 = -27
-6n = -27

Divide each side by '-6'.
n = 4.5

Simplifying
n = 4.5

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