38-6n=4(-4n+3)-4

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Solution for 38-6n=4(-4n+3)-4 equation:


Simplifying
38 + -6n = 4(-4n + 3) + -4

Reorder the terms:
38 + -6n = 4(3 + -4n) + -4
38 + -6n = (3 * 4 + -4n * 4) + -4
38 + -6n = (12 + -16n) + -4

Reorder the terms:
38 + -6n = 12 + -4 + -16n

Combine like terms: 12 + -4 = 8
38 + -6n = 8 + -16n

Solving
38 + -6n = 8 + -16n

Solving for variable 'n'.

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

Add '16n' to each side of the equation.
38 + -6n + 16n = 8 + -16n + 16n

Combine like terms: -6n + 16n = 10n
38 + 10n = 8 + -16n + 16n

Combine like terms: -16n + 16n = 0
38 + 10n = 8 + 0
38 + 10n = 8

Add '-38' to each side of the equation.
38 + -38 + 10n = 8 + -38

Combine like terms: 38 + -38 = 0
0 + 10n = 8 + -38
10n = 8 + -38

Combine like terms: 8 + -38 = -30
10n = -30

Divide each side by '10'.
n = -3

Simplifying
n = -3

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