2(n+5)=7n-16-4

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Solution for 2(n+5)=7n-16-4 equation:


Simplifying
2(n + 5) = 7n + -16 + -4

Reorder the terms:
2(5 + n) = 7n + -16 + -4
(5 * 2 + n * 2) = 7n + -16 + -4
(10 + 2n) = 7n + -16 + -4

Reorder the terms:
10 + 2n = -16 + -4 + 7n

Combine like terms: -16 + -4 = -20
10 + 2n = -20 + 7n

Solving
10 + 2n = -20 + 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.
10 + 2n + -7n = -20 + 7n + -7n

Combine like terms: 2n + -7n = -5n
10 + -5n = -20 + 7n + -7n

Combine like terms: 7n + -7n = 0
10 + -5n = -20 + 0
10 + -5n = -20

Add '-10' to each side of the equation.
10 + -10 + -5n = -20 + -10

Combine like terms: 10 + -10 = 0
0 + -5n = -20 + -10
-5n = -20 + -10

Combine like terms: -20 + -10 = -30
-5n = -30

Divide each side by '-5'.
n = 6

Simplifying
n = 6

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