5(7n-2)=4(8n+5)

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Solution for 5(7n-2)=4(8n+5) equation:


Simplifying
5(7n + -2) = 4(8n + 5)

Reorder the terms:
5(-2 + 7n) = 4(8n + 5)
(-2 * 5 + 7n * 5) = 4(8n + 5)
(-10 + 35n) = 4(8n + 5)

Reorder the terms:
-10 + 35n = 4(5 + 8n)
-10 + 35n = (5 * 4 + 8n * 4)
-10 + 35n = (20 + 32n)

Solving
-10 + 35n = 20 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
-10 + 35n + -32n = 20 + 32n + -32n

Combine like terms: 35n + -32n = 3n
-10 + 3n = 20 + 32n + -32n

Combine like terms: 32n + -32n = 0
-10 + 3n = 20 + 0
-10 + 3n = 20

Add '10' to each side of the equation.
-10 + 10 + 3n = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 3n = 20 + 10
3n = 20 + 10

Combine like terms: 20 + 10 = 30
3n = 30

Divide each side by '3'.
n = 10

Simplifying
n = 10

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