3(n+22)=14-7n

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Solution for 3(n+22)=14-7n equation:


Simplifying
3(n + 22) = 14 + -7n

Reorder the terms:
3(22 + n) = 14 + -7n
(22 * 3 + n * 3) = 14 + -7n
(66 + 3n) = 14 + -7n

Solving
66 + 3n = 14 + -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.
66 + 3n + 7n = 14 + -7n + 7n

Combine like terms: 3n + 7n = 10n
66 + 10n = 14 + -7n + 7n

Combine like terms: -7n + 7n = 0
66 + 10n = 14 + 0
66 + 10n = 14

Add '-66' to each side of the equation.
66 + -66 + 10n = 14 + -66

Combine like terms: 66 + -66 = 0
0 + 10n = 14 + -66
10n = 14 + -66

Combine like terms: 14 + -66 = -52
10n = -52

Divide each side by '10'.
n = -5.2

Simplifying
n = -5.2

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