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

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


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

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

Reorder the terms:
24 + 16n = 8(3 + 7n) + 1
24 + 16n = (3 * 8 + 7n * 8) + 1
24 + 16n = (24 + 56n) + 1

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

Combine like terms: 24 + 1 = 25
24 + 16n = 25 + 56n

Solving
24 + 16n = 25 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
24 + 16n + -56n = 25 + 56n + -56n

Combine like terms: 16n + -56n = -40n
24 + -40n = 25 + 56n + -56n

Combine like terms: 56n + -56n = 0
24 + -40n = 25 + 0
24 + -40n = 25

Add '-24' to each side of the equation.
24 + -24 + -40n = 25 + -24

Combine like terms: 24 + -24 = 0
0 + -40n = 25 + -24
-40n = 25 + -24

Combine like terms: 25 + -24 = 1
-40n = 1

Divide each side by '-40'.
n = -0.025

Simplifying
n = -0.025

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