146=6+(n-1)*7

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Solution for 146=6+(n-1)*7 equation:


Simplifying
146 = 6 + (n + -1) * 7

Reorder the terms:
146 = 6 + (-1 + n) * 7

Reorder the terms for easier multiplication:
146 = 6 + 7(-1 + n)
146 = 6 + (-1 * 7 + n * 7)
146 = 6 + (-7 + 7n)

Combine like terms: 6 + -7 = -1
146 = -1 + 7n

Solving
146 = -1 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
146 + -7n = -1 + 7n + -7n

Combine like terms: 7n + -7n = 0
146 + -7n = -1 + 0
146 + -7n = -1

Add '-146' to each side of the equation.
146 + -146 + -7n = -1 + -146

Combine like terms: 146 + -146 = 0
0 + -7n = -1 + -146
-7n = -1 + -146

Combine like terms: -1 + -146 = -147
-7n = -147

Divide each side by '-7'.
n = 21

Simplifying
n = 21

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