-.5(2n+4)+6=-9+4(2n+1)

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Solution for -.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 = 4
4 + -1n = -9 + 4(2n + 1)

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

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

Solving
4 + -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.
4 + -1n + -8n = -5 + 8n + -8n

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

Combine like terms: 8n + -8n = 0
4 + -9n = -5 + 0
4 + -9n = -5

Add '-4' to each side of the equation.
4 + -4 + -9n = -5 + -4

Combine like terms: 4 + -4 = 0
0 + -9n = -5 + -4
-9n = -5 + -4

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

Divide each side by '-9'.
n = 1

Simplifying
n = 1

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