5*(n+6)=2*(n-3)+4

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Solution for 5*(n+6)=2*(n-3)+4 equation:


Simplifying
5(n + 6) = 2(n + -3) + 4

Reorder the terms:
5(6 + n) = 2(n + -3) + 4
(6 * 5 + n * 5) = 2(n + -3) + 4
(30 + 5n) = 2(n + -3) + 4

Reorder the terms:
30 + 5n = 2(-3 + n) + 4
30 + 5n = (-3 * 2 + n * 2) + 4
30 + 5n = (-6 + 2n) + 4

Reorder the terms:
30 + 5n = -6 + 4 + 2n

Combine like terms: -6 + 4 = -2
30 + 5n = -2 + 2n

Solving
30 + 5n = -2 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
30 + 5n + -2n = -2 + 2n + -2n

Combine like terms: 5n + -2n = 3n
30 + 3n = -2 + 2n + -2n

Combine like terms: 2n + -2n = 0
30 + 3n = -2 + 0
30 + 3n = -2

Add '-30' to each side of the equation.
30 + -30 + 3n = -2 + -30

Combine like terms: 30 + -30 = 0
0 + 3n = -2 + -30
3n = -2 + -30

Combine like terms: -2 + -30 = -32
3n = -32

Divide each side by '3'.
n = -10.66666667

Simplifying
n = -10.66666667

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