4(2n+5)=3n+10

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Solution for 4(2n+5)=3n+10 equation: 


Simplifying
4(2n + 5) = 3n + 10

Reorder the terms:
4(5 + 2n) = 3n + 10
(5 * 4 + 2n * 4) = 3n + 10
(20 + 8n) = 3n + 10

Reorder the terms:
20 + 8n = 10 + 3n

Solving
20 + 8n = 10 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
20 + 8n + -3n = 10 + 3n + -3n

Combine like terms: 8n + -3n = 5n
20 + 5n = 10 + 3n + -3n

Combine like terms: 3n + -3n = 0
20 + 5n = 10 + 0
20 + 5n = 10

Add '-20' to each side of the equation.
20 + -20 + 5n = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 5n = 10 + -20
5n = 10 + -20

Combine like terms: 10 + -20 = -10
5n = -10

Divide each side by '5'.
n = -2

Simplifying
n = -2

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