4(n+3)=94-6(n-3)

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Solution for 4(n+3)=94-6(n-3) equation:


Simplifying
4(n + 3) = 94 + -6(n + -3)

Reorder the terms:
4(3 + n) = 94 + -6(n + -3)
(3 * 4 + n * 4) = 94 + -6(n + -3)
(12 + 4n) = 94 + -6(n + -3)

Reorder the terms:
12 + 4n = 94 + -6(-3 + n)
12 + 4n = 94 + (-3 * -6 + n * -6)
12 + 4n = 94 + (18 + -6n)

Combine like terms: 94 + 18 = 112
12 + 4n = 112 + -6n

Solving
12 + 4n = 112 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
12 + 4n + 6n = 112 + -6n + 6n

Combine like terms: 4n + 6n = 10n
12 + 10n = 112 + -6n + 6n

Combine like terms: -6n + 6n = 0
12 + 10n = 112 + 0
12 + 10n = 112

Add '-12' to each side of the equation.
12 + -12 + 10n = 112 + -12

Combine like terms: 12 + -12 = 0
0 + 10n = 112 + -12
10n = 112 + -12

Combine like terms: 112 + -12 = 100
10n = 100

Divide each side by '10'.
n = 10

Simplifying
n = 10

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