34+3n=7(6n-4)-8n

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Solution for 34+3n=7(6n-4)-8n equation:


Simplifying
34 + 3n = 7(6n + -4) + -8n

Reorder the terms:
34 + 3n = 7(-4 + 6n) + -8n
34 + 3n = (-4 * 7 + 6n * 7) + -8n
34 + 3n = (-28 + 42n) + -8n

Combine like terms: 42n + -8n = 34n
34 + 3n = -28 + 34n

Solving
34 + 3n = -28 + 34n

Solving for variable 'n'.

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

Add '-34n' to each side of the equation.
34 + 3n + -34n = -28 + 34n + -34n

Combine like terms: 3n + -34n = -31n
34 + -31n = -28 + 34n + -34n

Combine like terms: 34n + -34n = 0
34 + -31n = -28 + 0
34 + -31n = -28

Add '-34' to each side of the equation.
34 + -34 + -31n = -28 + -34

Combine like terms: 34 + -34 = 0
0 + -31n = -28 + -34
-31n = -28 + -34

Combine like terms: -28 + -34 = -62
-31n = -62

Divide each side by '-31'.
n = 2

Simplifying
n = 2

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