0.5(2n+4)+6=-9+4(2n+1)

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Solution for 0.5(2n+4)+6=-9+4(2n+1) equation: 


Simplifying
0.5(2n + 4) + 6 = -9 + 4(2n + 1)

Reorder the terms:
0.5(4 + 2n) + 6 = -9 + 4(2n + 1)
(4 * 0.5 + 2n * 0.5) + 6 = -9 + 4(2n + 1)
(2 + 1n) + 6 = -9 + 4(2n + 1)

Reorder the terms:
2 + 6 + 1n = -9 + 4(2n + 1)

Combine like terms: 2 + 6 = 8
8 + 1n = -9 + 4(2n + 1)

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

Combine like terms: -9 + 4 = -5
8 + 1n = -5 + 8n

Solving
8 + 1n = -5 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
8 + 1n + -8n = -5 + 8n + -8n

Combine like terms: 1n + -8n = -7n
8 + -7n = -5 + 8n + -8n

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

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

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

Combine like terms: -5 + -8 = -13
-7n = -13

Divide each side by '-7'.
n = 1.857142857

Simplifying
n = 1.857142857

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