-200=3(7n+1)+8n

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Solution for -200=3(7n+1)+8n equation:


Simplifying
-200 = 3(7n + 1) + 8n

Reorder the terms:
-200 = 3(1 + 7n) + 8n
-200 = (1 * 3 + 7n * 3) + 8n
-200 = (3 + 21n) + 8n

Combine like terms: 21n + 8n = 29n
-200 = 3 + 29n

Solving
-200 = 3 + 29n

Solving for variable 'n'.

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

Add '-29n' to each side of the equation.
-200 + -29n = 3 + 29n + -29n

Combine like terms: 29n + -29n = 0
-200 + -29n = 3 + 0
-200 + -29n = 3

Add '200' to each side of the equation.
-200 + 200 + -29n = 3 + 200

Combine like terms: -200 + 200 = 0
0 + -29n = 3 + 200
-29n = 3 + 200

Combine like terms: 3 + 200 = 203
-29n = 203

Divide each side by '-29'.
n = -7

Simplifying
n = -7

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