4(2n+5)=7(3n+6)+7

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Solution for 4(2n+5)=7(3n+6)+7 equation: 


Simplifying
4(2n + 5) = 7(3n + 6) + 7

Reorder the terms:
4(5 + 2n) = 7(3n + 6) + 7
(5 * 4 + 2n * 4) = 7(3n + 6) + 7
(20 + 8n) = 7(3n + 6) + 7

Reorder the terms:
20 + 8n = 7(6 + 3n) + 7
20 + 8n = (6 * 7 + 3n * 7) + 7
20 + 8n = (42 + 21n) + 7

Reorder the terms:
20 + 8n = 42 + 7 + 21n

Combine like terms: 42 + 7 = 49
20 + 8n = 49 + 21n

Solving
20 + 8n = 49 + 21n

Solving for variable 'n'.

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

Add '-21n' to each side of the equation.
20 + 8n + -21n = 49 + 21n + -21n

Combine like terms: 8n + -21n = -13n
20 + -13n = 49 + 21n + -21n

Combine like terms: 21n + -21n = 0
20 + -13n = 49 + 0
20 + -13n = 49

Add '-20' to each side of the equation.
20 + -20 + -13n = 49 + -20

Combine like terms: 20 + -20 = 0
0 + -13n = 49 + -20
-13n = 49 + -20

Combine like terms: 49 + -20 = 29
-13n = 29

Divide each side by '-13'.
n = -2.230769231

Simplifying
n = -2.230769231

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