7(4n+8)-6=106

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Solution for 7(4n+8)-6=106 equation:


Simplifying
7(4n + 8) + -6 = 106

Reorder the terms:
7(8 + 4n) + -6 = 106
(8 * 7 + 4n * 7) + -6 = 106
(56 + 28n) + -6 = 106

Reorder the terms:
56 + -6 + 28n = 106

Combine like terms: 56 + -6 = 50
50 + 28n = 106

Solving
50 + 28n = 106

Solving for variable 'n'.

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

Add '-50' to each side of the equation.
50 + -50 + 28n = 106 + -50

Combine like terms: 50 + -50 = 0
0 + 28n = 106 + -50
28n = 106 + -50

Combine like terms: 106 + -50 = 56
28n = 56

Divide each side by '28'.
n = 2

Simplifying
n = 2

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