2n+5=4(n+2)-4

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Solution for 2n+5=4(n+2)-4 equation:


Simplifying
2n + 5 = 4(n + 2) + -4

Reorder the terms:
5 + 2n = 4(n + 2) + -4

Reorder the terms:
5 + 2n = 4(2 + n) + -4
5 + 2n = (2 * 4 + n * 4) + -4
5 + 2n = (8 + 4n) + -4

Reorder the terms:
5 + 2n = 8 + -4 + 4n

Combine like terms: 8 + -4 = 4
5 + 2n = 4 + 4n

Solving
5 + 2n = 4 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
5 + 2n + -4n = 4 + 4n + -4n

Combine like terms: 2n + -4n = -2n
5 + -2n = 4 + 4n + -4n

Combine like terms: 4n + -4n = 0
5 + -2n = 4 + 0
5 + -2n = 4

Add '-5' to each side of the equation.
5 + -5 + -2n = 4 + -5

Combine like terms: 5 + -5 = 0
0 + -2n = 4 + -5
-2n = 4 + -5

Combine like terms: 4 + -5 = -1
-2n = -1

Divide each side by '-2'.
n = 0.5

Simplifying
n = 0.5

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