8(2n+3)=8(4n+7)+1

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Solution for 8(2n+3)=8(4n+7)+1 equation:


Simplifying
8(2n + 3) = 8(4n + 7) + 1

Reorder the terms:
8(3 + 2n) = 8(4n + 7) + 1
(3 * 8 + 2n * 8) = 8(4n + 7) + 1
(24 + 16n) = 8(4n + 7) + 1

Reorder the terms:
24 + 16n = 8(7 + 4n) + 1
24 + 16n = (7 * 8 + 4n * 8) + 1
24 + 16n = (56 + 32n) + 1

Reorder the terms:
24 + 16n = 56 + 1 + 32n

Combine like terms: 56 + 1 = 57
24 + 16n = 57 + 32n

Solving
24 + 16n = 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.
24 + 16n + -32n = 57 + 32n + -32n

Combine like terms: 16n + -32n = -16n
24 + -16n = 57 + 32n + -32n

Combine like terms: 32n + -32n = 0
24 + -16n = 57 + 0
24 + -16n = 57

Add '-24' to each side of the equation.
24 + -24 + -16n = 57 + -24

Combine like terms: 24 + -24 = 0
0 + -16n = 57 + -24
-16n = 57 + -24

Combine like terms: 57 + -24 = 33
-16n = 33

Divide each side by '-16'.
n = -2.0625

Simplifying
n = -2.0625

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