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

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


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

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

Solving
7 + 7n = 15 + -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
7 + 7n + 3n = 15 + -3n + 3n

Combine like terms: 7n + 3n = 10n
7 + 10n = 15 + -3n + 3n

Combine like terms: -3n + 3n = 0
7 + 10n = 15 + 0
7 + 10n = 15

Add '-7' to each side of the equation.
7 + -7 + 10n = 15 + -7

Combine like terms: 7 + -7 = 0
0 + 10n = 15 + -7
10n = 15 + -7

Combine like terms: 15 + -7 = 8
10n = 8

Divide each side by '10'.
n = 0.8

Simplifying
n = 0.8

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