4*7n-1=5*4(n+1)

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Solution for 4*7n-1=5*4(n+1) equation: 


Simplifying
4 * 7n + -1 = 5 * 4(n + 1)

Multiply 4 * 7
28n + -1 = 5 * 4(n + 1)

Reorder the terms:
-1 + 28n = 5 * 4(n + 1)

Reorder the terms:
-1 + 28n = 5 * 4(1 + n)

Multiply 5 * 4
-1 + 28n = 20(1 + n)
-1 + 28n = (1 * 20 + n * 20)
-1 + 28n = (20 + 20n)

Solving
-1 + 28n = 20 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
-1 + 28n + -20n = 20 + 20n + -20n

Combine like terms: 28n + -20n = 8n
-1 + 8n = 20 + 20n + -20n

Combine like terms: 20n + -20n = 0
-1 + 8n = 20 + 0
-1 + 8n = 20

Add '1' to each side of the equation.
-1 + 1 + 8n = 20 + 1

Combine like terms: -1 + 1 = 0
0 + 8n = 20 + 1
8n = 20 + 1

Combine like terms: 20 + 1 = 21
8n = 21

Divide each side by '8'.
n = 2.625

Simplifying
n = 2.625

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