10n+3=8n-55

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Solution for 10n+3=8n-55 equation:


Simplifying
10n + 3 = 8n + -55

Reorder the terms:
3 + 10n = 8n + -55

Reorder the terms:
3 + 10n = -55 + 8n

Solving
3 + 10n = -55 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
3 + 10n + -8n = -55 + 8n + -8n

Combine like terms: 10n + -8n = 2n
3 + 2n = -55 + 8n + -8n

Combine like terms: 8n + -8n = 0
3 + 2n = -55 + 0
3 + 2n = -55

Add '-3' to each side of the equation.
3 + -3 + 2n = -55 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = -55 + -3
2n = -55 + -3

Combine like terms: -55 + -3 = -58
2n = -58

Divide each side by '2'.
n = -29

Simplifying
n = -29

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