9(2n+3)=8(7+6)+5

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Solution for 9(2n+3)=8(7+6)+5 equation:


Simplifying
9(2n + 3) = 8(7 + 6) + 5

Reorder the terms:
9(3 + 2n) = 8(7 + 6) + 5
(3 * 9 + 2n * 9) = 8(7 + 6) + 5
(27 + 18n) = 8(7 + 6) + 5

Combine like terms: 7 + 6 = 13
27 + 18n = 8(13) + 5

Multiply 8 * 13
27 + 18n = 104 + 5

Combine like terms: 104 + 5 = 109
27 + 18n = 109

Solving
27 + 18n = 109

Solving for variable 'n'.

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

Add '-27' to each side of the equation.
27 + -27 + 18n = 109 + -27

Combine like terms: 27 + -27 = 0
0 + 18n = 109 + -27
18n = 109 + -27

Combine like terms: 109 + -27 = 82
18n = 82

Divide each side by '18'.
n = 4.555555556

Simplifying
n = 4.555555556

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