189=7(4n-5)

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Solution for 189=7(4n-5) equation:


Simplifying
189 = 7(4n + -5)

Reorder the terms:
189 = 7(-5 + 4n)
189 = (-5 * 7 + 4n * 7)
189 = (-35 + 28n)

Solving
189 = -35 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
189 + -28n = -35 + 28n + -28n

Combine like terms: 28n + -28n = 0
189 + -28n = -35 + 0
189 + -28n = -35

Add '-189' to each side of the equation.
189 + -189 + -28n = -35 + -189

Combine like terms: 189 + -189 = 0
0 + -28n = -35 + -189
-28n = -35 + -189

Combine like terms: -35 + -189 = -224
-28n = -224

Divide each side by '-28'.
n = 8

Simplifying
n = 8

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