-6n+34=5(-3n-4)

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Solution for -6n+34=5(-3n-4) equation:


Simplifying
-6n + 34 = 5(-3n + -4)

Reorder the terms:
34 + -6n = 5(-3n + -4)

Reorder the terms:
34 + -6n = 5(-4 + -3n)
34 + -6n = (-4 * 5 + -3n * 5)
34 + -6n = (-20 + -15n)

Solving
34 + -6n = -20 + -15n

Solving for variable 'n'.

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

Add '15n' to each side of the equation.
34 + -6n + 15n = -20 + -15n + 15n

Combine like terms: -6n + 15n = 9n
34 + 9n = -20 + -15n + 15n

Combine like terms: -15n + 15n = 0
34 + 9n = -20 + 0
34 + 9n = -20

Add '-34' to each side of the equation.
34 + -34 + 9n = -20 + -34

Combine like terms: 34 + -34 = 0
0 + 9n = -20 + -34
9n = -20 + -34

Combine like terms: -20 + -34 = -54
9n = -54

Divide each side by '9'.
n = -6

Simplifying
n = -6

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