4(n+2)=9n-7

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Solution for 4(n+2)=9n-7 equation:


Simplifying
4(n + 2) = 9n + -7

Reorder the terms:
4(2 + n) = 9n + -7
(2 * 4 + n * 4) = 9n + -7
(8 + 4n) = 9n + -7

Reorder the terms:
8 + 4n = -7 + 9n

Solving
8 + 4n = -7 + 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.
8 + 4n + -9n = -7 + 9n + -9n

Combine like terms: 4n + -9n = -5n
8 + -5n = -7 + 9n + -9n

Combine like terms: 9n + -9n = 0
8 + -5n = -7 + 0
8 + -5n = -7

Add '-8' to each side of the equation.
8 + -8 + -5n = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = -7 + -8
-5n = -7 + -8

Combine like terms: -7 + -8 = -15
-5n = -15

Divide each side by '-5'.
n = 3

Simplifying
n = 3

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