2(3n-4)+2(5n)=56

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Solution for 2(3n-4)+2(5n)=56 equation:


Simplifying
2(3n + -4) + 2(5n) = 56

Reorder the terms:
2(-4 + 3n) + 2(5n) = 56
(-4 * 2 + 3n * 2) + 2(5n) = 56
(-8 + 6n) + 2(5n) = 56

Remove parenthesis around (5n)
-8 + 6n + 2 * 5n = 56

Multiply 2 * 5
-8 + 6n + 10n = 56

Combine like terms: 6n + 10n = 16n
-8 + 16n = 56

Solving
-8 + 16n = 56

Solving for variable 'n'.

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

Add '8' to each side of the equation.
-8 + 8 + 16n = 56 + 8

Combine like terms: -8 + 8 = 0
0 + 16n = 56 + 8
16n = 56 + 8

Combine like terms: 56 + 8 = 64
16n = 64

Divide each side by '16'.
n = 4

Simplifying
n = 4

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