128=7(2n+4)+6n

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Solution for 128=7(2n+4)+6n equation:


Simplifying
128 = 7(2n + 4) + 6n

Reorder the terms:
128 = 7(4 + 2n) + 6n
128 = (4 * 7 + 2n * 7) + 6n
128 = (28 + 14n) + 6n

Combine like terms: 14n + 6n = 20n
128 = 28 + 20n

Solving
128 = 28 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
128 + -20n = 28 + 20n + -20n

Combine like terms: 20n + -20n = 0
128 + -20n = 28 + 0
128 + -20n = 28

Add '-128' to each side of the equation.
128 + -128 + -20n = 28 + -128

Combine like terms: 128 + -128 = 0
0 + -20n = 28 + -128
-20n = 28 + -128

Combine like terms: 28 + -128 = -100
-20n = -100

Divide each side by '-20'.
n = 5

Simplifying
n = 5

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