4(2n-5)=30n+10

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Solution for 4(2n-5)=30n+10 equation:


Simplifying
4(2n + -5) = 30n + 10

Reorder the terms:
4(-5 + 2n) = 30n + 10
(-5 * 4 + 2n * 4) = 30n + 10
(-20 + 8n) = 30n + 10

Reorder the terms:
-20 + 8n = 10 + 30n

Solving
-20 + 8n = 10 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
-20 + 8n + -30n = 10 + 30n + -30n

Combine like terms: 8n + -30n = -22n
-20 + -22n = 10 + 30n + -30n

Combine like terms: 30n + -30n = 0
-20 + -22n = 10 + 0
-20 + -22n = 10

Add '20' to each side of the equation.
-20 + 20 + -22n = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -22n = 10 + 20
-22n = 10 + 20

Combine like terms: 10 + 20 = 30
-22n = 30

Divide each side by '-22'.
n = -1.363636364

Simplifying
n = -1.363636364

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