5(n-3)=8(n+3)

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


Simplifying
5(n + -3) = 8(n + 3)

Reorder the terms:
5(-3 + n) = 8(n + 3)
(-3 * 5 + n * 5) = 8(n + 3)
(-15 + 5n) = 8(n + 3)

Reorder the terms:
-15 + 5n = 8(3 + n)
-15 + 5n = (3 * 8 + n * 8)
-15 + 5n = (24 + 8n)

Solving
-15 + 5n = 24 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
-15 + 5n + -8n = 24 + 8n + -8n

Combine like terms: 5n + -8n = -3n
-15 + -3n = 24 + 8n + -8n

Combine like terms: 8n + -8n = 0
-15 + -3n = 24 + 0
-15 + -3n = 24

Add '15' to each side of the equation.
-15 + 15 + -3n = 24 + 15

Combine like terms: -15 + 15 = 0
0 + -3n = 24 + 15
-3n = 24 + 15

Combine like terms: 24 + 15 = 39
-3n = 39

Divide each side by '-3'.
n = -13

Simplifying
n = -13

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