2(7-2n)+3(n-2)=4(n+6)

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Solution for 2(7-2n)+3(n-2)=4(n+6) equation:


Simplifying
2(7 + -2n) + 3(n + -2) = 4(n + 6)
(7 * 2 + -2n * 2) + 3(n + -2) = 4(n + 6)
(14 + -4n) + 3(n + -2) = 4(n + 6)

Reorder the terms:
14 + -4n + 3(-2 + n) = 4(n + 6)
14 + -4n + (-2 * 3 + n * 3) = 4(n + 6)
14 + -4n + (-6 + 3n) = 4(n + 6)

Reorder the terms:
14 + -6 + -4n + 3n = 4(n + 6)

Combine like terms: 14 + -6 = 8
8 + -4n + 3n = 4(n + 6)

Combine like terms: -4n + 3n = -1n
8 + -1n = 4(n + 6)

Reorder the terms:
8 + -1n = 4(6 + n)
8 + -1n = (6 * 4 + n * 4)
8 + -1n = (24 + 4n)

Solving
8 + -1n = 24 + 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.
8 + -1n + -4n = 24 + 4n + -4n

Combine like terms: -1n + -4n = -5n
8 + -5n = 24 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -5n = 24 + 0
8 + -5n = 24

Add '-8' to each side of the equation.
8 + -8 + -5n = 24 + -8

Combine like terms: 8 + -8 = 0
0 + -5n = 24 + -8
-5n = 24 + -8

Combine like terms: 24 + -8 = 16
-5n = 16

Divide each side by '-5'.
n = -3.2

Simplifying
n = -3.2

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