-193=-5(6n+5)+6n

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Solution for -193=-5(6n+5)+6n equation:


Simplifying
-193 = -5(6n + 5) + 6n

Reorder the terms:
-193 = -5(5 + 6n) + 6n
-193 = (5 * -5 + 6n * -5) + 6n
-193 = (-25 + -30n) + 6n

Combine like terms: -30n + 6n = -24n
-193 = -25 + -24n

Solving
-193 = -25 + -24n

Solving for variable 'n'.

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

Add '24n' to each side of the equation.
-193 + 24n = -25 + -24n + 24n

Combine like terms: -24n + 24n = 0
-193 + 24n = -25 + 0
-193 + 24n = -25

Add '193' to each side of the equation.
-193 + 193 + 24n = -25 + 193

Combine like terms: -193 + 193 = 0
0 + 24n = -25 + 193
24n = -25 + 193

Combine like terms: -25 + 193 = 168
24n = 168

Divide each side by '24'.
n = 7

Simplifying
n = 7

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