458=45n+98

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Solution for 458=45n+98 equation:


Simplifying
458 = 45n + 98

Reorder the terms:
458 = 98 + 45n

Solving
458 = 98 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
458 + -45n = 98 + 45n + -45n

Combine like terms: 45n + -45n = 0
458 + -45n = 98 + 0
458 + -45n = 98

Add '-458' to each side of the equation.
458 + -458 + -45n = 98 + -458

Combine like terms: 458 + -458 = 0
0 + -45n = 98 + -458
-45n = 98 + -458

Combine like terms: 98 + -458 = -360
-45n = -360

Divide each side by '-45'.
n = 8

Simplifying
n = 8

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