4(2n+5)=6(5n+8)+7

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Solution for 4(2n+5)=6(5n+8)+7 equation: 


Simplifying
4(2n + 5) = 6(5n + 8) + 7

Reorder the terms:
4(5 + 2n) = 6(5n + 8) + 7
(5 * 4 + 2n * 4) = 6(5n + 8) + 7
(20 + 8n) = 6(5n + 8) + 7

Reorder the terms:
20 + 8n = 6(8 + 5n) + 7
20 + 8n = (8 * 6 + 5n * 6) + 7
20 + 8n = (48 + 30n) + 7

Reorder the terms:
20 + 8n = 48 + 7 + 30n

Combine like terms: 48 + 7 = 55
20 + 8n = 55 + 30n

Solving
20 + 8n = 55 + 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 = 55 + 30n + -30n

Combine like terms: 8n + -30n = -22n
20 + -22n = 55 + 30n + -30n

Combine like terms: 30n + -30n = 0
20 + -22n = 55 + 0
20 + -22n = 55

Add '-20' to each side of the equation.
20 + -20 + -22n = 55 + -20

Combine like terms: 20 + -20 = 0
0 + -22n = 55 + -20
-22n = 55 + -20

Combine like terms: 55 + -20 = 35
-22n = 35

Divide each side by '-22'.
n = -1.590909091

Simplifying
n = -1.590909091

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