(n+13)-(7n+16)=

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Solution for (n+13)-(7n+16)= equation:


Simplifying
(n + 13) + -1(7n + 16) = 0

Reorder the terms:
(13 + n) + -1(7n + 16) = 0

Remove parenthesis around (13 + n)
13 + n + -1(7n + 16) = 0

Reorder the terms:
13 + n + -1(16 + 7n) = 0
13 + n + (16 * -1 + 7n * -1) = 0
13 + n + (-16 + -7n) = 0

Reorder the terms:
13 + -16 + n + -7n = 0

Combine like terms: 13 + -16 = -3
-3 + n + -7n = 0

Combine like terms: n + -7n = -6n
-3 + -6n = 0

Solving
-3 + -6n = 0

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + -6n = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -6n = 0 + 3
-6n = 0 + 3

Combine like terms: 0 + 3 = 3
-6n = 3

Divide each side by '-6'.
n = -0.5

Simplifying
n = -0.5

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