5(3n+1)=8(7n+5)+1

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Solution for 5(3n+1)=8(7n+5)+1 equation:


Simplifying
5(3n + 1) = 8(7n + 5) + 1

Reorder the terms:
5(1 + 3n) = 8(7n + 5) + 1
(1 * 5 + 3n * 5) = 8(7n + 5) + 1
(5 + 15n) = 8(7n + 5) + 1

Reorder the terms:
5 + 15n = 8(5 + 7n) + 1
5 + 15n = (5 * 8 + 7n * 8) + 1
5 + 15n = (40 + 56n) + 1

Reorder the terms:
5 + 15n = 40 + 1 + 56n

Combine like terms: 40 + 1 = 41
5 + 15n = 41 + 56n

Solving
5 + 15n = 41 + 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.
5 + 15n + -56n = 41 + 56n + -56n

Combine like terms: 15n + -56n = -41n
5 + -41n = 41 + 56n + -56n

Combine like terms: 56n + -56n = 0
5 + -41n = 41 + 0
5 + -41n = 41

Add '-5' to each side of the equation.
5 + -5 + -41n = 41 + -5

Combine like terms: 5 + -5 = 0
0 + -41n = 41 + -5
-41n = 41 + -5

Combine like terms: 41 + -5 = 36
-41n = 36

Divide each side by '-41'.
n = -0.8780487805

Simplifying
n = -0.8780487805

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