28+6n=6(1+3n)-2

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Solution for 28+6n=6(1+3n)-2 equation:


Simplifying
28 + 6n = 6(1 + 3n) + -2
28 + 6n = (1 * 6 + 3n * 6) + -2
28 + 6n = (6 + 18n) + -2

Reorder the terms:
28 + 6n = 6 + -2 + 18n

Combine like terms: 6 + -2 = 4
28 + 6n = 4 + 18n

Solving
28 + 6n = 4 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
28 + 6n + -18n = 4 + 18n + -18n

Combine like terms: 6n + -18n = -12n
28 + -12n = 4 + 18n + -18n

Combine like terms: 18n + -18n = 0
28 + -12n = 4 + 0
28 + -12n = 4

Add '-28' to each side of the equation.
28 + -28 + -12n = 4 + -28

Combine like terms: 28 + -28 = 0
0 + -12n = 4 + -28
-12n = 4 + -28

Combine like terms: 4 + -28 = -24
-12n = -24

Divide each side by '-12'.
n = 2

Simplifying
n = 2

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