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

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


Simplifying
4(n + -2) + -7 = 9 + -1(n + 4)

Reorder the terms:
4(-2 + n) + -7 = 9 + -1(n + 4)
(-2 * 4 + n * 4) + -7 = 9 + -1(n + 4)
(-8 + 4n) + -7 = 9 + -1(n + 4)

Reorder the terms:
-8 + -7 + 4n = 9 + -1(n + 4)

Combine like terms: -8 + -7 = -15
-15 + 4n = 9 + -1(n + 4)

Reorder the terms:
-15 + 4n = 9 + -1(4 + n)
-15 + 4n = 9 + (4 * -1 + n * -1)
-15 + 4n = 9 + (-4 + -1n)

Combine like terms: 9 + -4 = 5
-15 + 4n = 5 + -1n

Solving
-15 + 4n = 5 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-15 + 4n + n = 5 + -1n + n

Combine like terms: 4n + n = 5n
-15 + 5n = 5 + -1n + n

Combine like terms: -1n + n = 0
-15 + 5n = 5 + 0
-15 + 5n = 5

Add '15' to each side of the equation.
-15 + 15 + 5n = 5 + 15

Combine like terms: -15 + 15 = 0
0 + 5n = 5 + 15
5n = 5 + 15

Combine like terms: 5 + 15 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4

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