5(13-n)*7=245

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Solution for 5(13-n)*7=245 equation:


Simplifying
5(13 + -1n) * 7 = 245

Reorder the terms for easier multiplication:
5 * 7(13 + -1n) = 245

Multiply 5 * 7
35(13 + -1n) = 245
(13 * 35 + -1n * 35) = 245
(455 + -35n) = 245

Solving
455 + -35n = 245

Solving for variable 'n'.

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

Add '-455' to each side of the equation.
455 + -455 + -35n = 245 + -455

Combine like terms: 455 + -455 = 0
0 + -35n = 245 + -455
-35n = 245 + -455

Combine like terms: 245 + -455 = -210
-35n = -210

Divide each side by '-35'.
n = 6

Simplifying
n = 6

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