9(2n+2)=8(4n+7)+1

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Solution for 9(2n+2)=8(4n+7)+1 equation:


Simplifying
9(2n + 2) = 8(4n + 7) + 1

Reorder the terms:
9(2 + 2n) = 8(4n + 7) + 1
(2 * 9 + 2n * 9) = 8(4n + 7) + 1
(18 + 18n) = 8(4n + 7) + 1

Reorder the terms:
18 + 18n = 8(7 + 4n) + 1
18 + 18n = (7 * 8 + 4n * 8) + 1
18 + 18n = (56 + 32n) + 1

Reorder the terms:
18 + 18n = 56 + 1 + 32n

Combine like terms: 56 + 1 = 57
18 + 18n = 57 + 32n

Solving
18 + 18n = 57 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
18 + 18n + -32n = 57 + 32n + -32n

Combine like terms: 18n + -32n = -14n
18 + -14n = 57 + 32n + -32n

Combine like terms: 32n + -32n = 0
18 + -14n = 57 + 0
18 + -14n = 57

Add '-18' to each side of the equation.
18 + -18 + -14n = 57 + -18

Combine like terms: 18 + -18 = 0
0 + -14n = 57 + -18
-14n = 57 + -18

Combine like terms: 57 + -18 = 39
-14n = 39

Divide each side by '-14'.
n = -2.785714286

Simplifying
n = -2.785714286

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