4+10n-3=9n+57-7n

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Solution for 4+10n-3=9n+57-7n equation:


Simplifying
4 + 10n + -3 = 9n + 57 + -7n

Reorder the terms:
4 + -3 + 10n = 9n + 57 + -7n

Combine like terms: 4 + -3 = 1
1 + 10n = 9n + 57 + -7n

Reorder the terms:
1 + 10n = 57 + 9n + -7n

Combine like terms: 9n + -7n = 2n
1 + 10n = 57 + 2n

Solving
1 + 10n = 57 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
1 + 10n + -2n = 57 + 2n + -2n

Combine like terms: 10n + -2n = 8n
1 + 8n = 57 + 2n + -2n

Combine like terms: 2n + -2n = 0
1 + 8n = 57 + 0
1 + 8n = 57

Add '-1' to each side of the equation.
1 + -1 + 8n = 57 + -1

Combine like terms: 1 + -1 = 0
0 + 8n = 57 + -1
8n = 57 + -1

Combine like terms: 57 + -1 = 56
8n = 56

Divide each side by '8'.
n = 7

Simplifying
n = 7

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