6-4(2n-4)=18-7n

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Solution for 6-4(2n-4)=18-7n equation:


Simplifying
6 + -4(2n + -4) = 18 + -7n

Reorder the terms:
6 + -4(-4 + 2n) = 18 + -7n
6 + (-4 * -4 + 2n * -4) = 18 + -7n
6 + (16 + -8n) = 18 + -7n

Combine like terms: 6 + 16 = 22
22 + -8n = 18 + -7n

Solving
22 + -8n = 18 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
22 + -8n + 7n = 18 + -7n + 7n

Combine like terms: -8n + 7n = -1n
22 + -1n = 18 + -7n + 7n

Combine like terms: -7n + 7n = 0
22 + -1n = 18 + 0
22 + -1n = 18

Add '-22' to each side of the equation.
22 + -22 + -1n = 18 + -22

Combine like terms: 22 + -22 = 0
0 + -1n = 18 + -22
-1n = 18 + -22

Combine like terms: 18 + -22 = -4
-1n = -4

Divide each side by '-1'.
n = 4

Simplifying
n = 4

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