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

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Solution for 8(n-3)+6n=5(n-2)-4 equation:


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

Reorder the terms:
8(-3 + n) + 6n = 5(n + -2) + -4
(-3 * 8 + n * 8) + 6n = 5(n + -2) + -4
(-24 + 8n) + 6n = 5(n + -2) + -4

Combine like terms: 8n + 6n = 14n
-24 + 14n = 5(n + -2) + -4

Reorder the terms:
-24 + 14n = 5(-2 + n) + -4
-24 + 14n = (-2 * 5 + n * 5) + -4
-24 + 14n = (-10 + 5n) + -4

Reorder the terms:
-24 + 14n = -10 + -4 + 5n

Combine like terms: -10 + -4 = -14
-24 + 14n = -14 + 5n

Solving
-24 + 14n = -14 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-24 + 14n + -5n = -14 + 5n + -5n

Combine like terms: 14n + -5n = 9n
-24 + 9n = -14 + 5n + -5n

Combine like terms: 5n + -5n = 0
-24 + 9n = -14 + 0
-24 + 9n = -14

Add '24' to each side of the equation.
-24 + 24 + 9n = -14 + 24

Combine like terms: -24 + 24 = 0
0 + 9n = -14 + 24
9n = -14 + 24

Combine like terms: -14 + 24 = 10
9n = 10

Divide each side by '9'.
n = 1.111111111

Simplifying
n = 1.111111111

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