7(n+2)-3=25-(3n+4)

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Solution for 7(n+2)-3=25-(3n+4) equation: 


Simplifying
7(n + 2) + -3 = 25 + -1(3n + 4)

Reorder the terms:
7(2 + n) + -3 = 25 + -1(3n + 4)
(2 * 7 + n * 7) + -3 = 25 + -1(3n + 4)
(14 + 7n) + -3 = 25 + -1(3n + 4)

Reorder the terms:
14 + -3 + 7n = 25 + -1(3n + 4)

Combine like terms: 14 + -3 = 11
11 + 7n = 25 + -1(3n + 4)

Reorder the terms:
11 + 7n = 25 + -1(4 + 3n)
11 + 7n = 25 + (4 * -1 + 3n * -1)
11 + 7n = 25 + (-4 + -3n)

Combine like terms: 25 + -4 = 21
11 + 7n = 21 + -3n

Solving
11 + 7n = 21 + -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.
11 + 7n + 3n = 21 + -3n + 3n

Combine like terms: 7n + 3n = 10n
11 + 10n = 21 + -3n + 3n

Combine like terms: -3n + 3n = 0
11 + 10n = 21 + 0
11 + 10n = 21

Add '-11' to each side of the equation.
11 + -11 + 10n = 21 + -11

Combine like terms: 11 + -11 = 0
0 + 10n = 21 + -11
10n = 21 + -11

Combine like terms: 21 + -11 = 10
10n = 10

Divide each side by '10'.
n = 1

Simplifying
n = 1

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