3(8n-2)+8=(5+2n)-38+8n

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Solution for 3(8n-2)+8=(5+2n)-38+8n equation:


Simplifying
3(8n + -2) + 8 = (5 + 2n) + -38 + 8n

Reorder the terms:
3(-2 + 8n) + 8 = (5 + 2n) + -38 + 8n
(-2 * 3 + 8n * 3) + 8 = (5 + 2n) + -38 + 8n
(-6 + 24n) + 8 = (5 + 2n) + -38 + 8n

Reorder the terms:
-6 + 8 + 24n = (5 + 2n) + -38 + 8n

Combine like terms: -6 + 8 = 2
2 + 24n = (5 + 2n) + -38 + 8n

Remove parenthesis around (5 + 2n)
2 + 24n = 5 + 2n + -38 + 8n

Reorder the terms:
2 + 24n = 5 + -38 + 2n + 8n

Combine like terms: 5 + -38 = -33
2 + 24n = -33 + 2n + 8n

Combine like terms: 2n + 8n = 10n
2 + 24n = -33 + 10n

Solving
2 + 24n = -33 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
2 + 24n + -10n = -33 + 10n + -10n

Combine like terms: 24n + -10n = 14n
2 + 14n = -33 + 10n + -10n

Combine like terms: 10n + -10n = 0
2 + 14n = -33 + 0
2 + 14n = -33

Add '-2' to each side of the equation.
2 + -2 + 14n = -33 + -2

Combine like terms: 2 + -2 = 0
0 + 14n = -33 + -2
14n = -33 + -2

Combine like terms: -33 + -2 = -35
14n = -35

Divide each side by '14'.
n = -2.5

Simplifying
n = -2.5

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