75=3(-6n-5)-n

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Solution for 75=3(-6n-5)-n equation:


Simplifying
75 = 3(-6n + -5) + -1n

Reorder the terms:
75 = 3(-5 + -6n) + -1n
75 = (-5 * 3 + -6n * 3) + -1n
75 = (-15 + -18n) + -1n

Combine like terms: -18n + -1n = -19n
75 = -15 + -19n

Solving
75 = -15 + -19n

Solving for variable 'n'.

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

Add '19n' to each side of the equation.
75 + 19n = -15 + -19n + 19n

Combine like terms: -19n + 19n = 0
75 + 19n = -15 + 0
75 + 19n = -15

Add '-75' to each side of the equation.
75 + -75 + 19n = -15 + -75

Combine like terms: 75 + -75 = 0
0 + 19n = -15 + -75
19n = -15 + -75

Combine like terms: -15 + -75 = -90
19n = -90

Divide each side by '19'.
n = -4.736842105

Simplifying
n = -4.736842105

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