(5)(2n+3)+6=7(n)

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Solution for (5)(2n+3)+6=7(n) equation:


Simplifying
(5)(2n + 3) + 6 = 7(n)

Reorder the terms:
5(3 + 2n) + 6 = 7(n)
(3 * 5 + 2n * 5) + 6 = 7(n)
(15 + 10n) + 6 = 7(n)

Reorder the terms:
15 + 6 + 10n = 7(n)

Combine like terms: 15 + 6 = 21
21 + 10n = 7(n)

Solving
21 + 10n = 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
21 + 10n + -7n = 7n + -7n

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

Combine like terms: 7n + -7n = 0
21 + 3n = 0

Add '-21' to each side of the equation.
21 + -21 + 3n = 0 + -21

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

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

Divide each side by '3'.
n = -7

Simplifying
n = -7

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