28-5n=3(5-8n)-6

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Solution for 28-5n=3(5-8n)-6 equation:


Simplifying
28 + -5n = 3(5 + -8n) + -6
28 + -5n = (5 * 3 + -8n * 3) + -6
28 + -5n = (15 + -24n) + -6

Reorder the terms:
28 + -5n = 15 + -6 + -24n

Combine like terms: 15 + -6 = 9
28 + -5n = 9 + -24n

Solving
28 + -5n = 9 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
28 + -5n + 24n = 9 + -24n + 24n

Combine like terms: -5n + 24n = 19n
28 + 19n = 9 + -24n + 24n

Combine like terms: -24n + 24n = 0
28 + 19n = 9 + 0
28 + 19n = 9

Add '-28' to each side of the equation.
28 + -28 + 19n = 9 + -28

Combine like terms: 28 + -28 = 0
0 + 19n = 9 + -28
19n = 9 + -28

Combine like terms: 9 + -28 = -19
19n = -19

Divide each side by '19'.
n = -1

Simplifying
n = -1

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