-34+6n=5(8n+9)

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Solution for -34+6n=5(8n+9) equation:


Simplifying
-34 + 6n = 5(8n + 9)

Reorder the terms:
-34 + 6n = 5(9 + 8n)
-34 + 6n = (9 * 5 + 8n * 5)
-34 + 6n = (45 + 40n)

Solving
-34 + 6n = 45 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
-34 + 6n + -40n = 45 + 40n + -40n

Combine like terms: 6n + -40n = -34n
-34 + -34n = 45 + 40n + -40n

Combine like terms: 40n + -40n = 0
-34 + -34n = 45 + 0
-34 + -34n = 45

Add '34' to each side of the equation.
-34 + 34 + -34n = 45 + 34

Combine like terms: -34 + 34 = 0
0 + -34n = 45 + 34
-34n = 45 + 34

Combine like terms: 45 + 34 = 79
-34n = 79

Divide each side by '-34'.
n = -2.323529412

Simplifying
n = -2.323529412

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