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

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


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

Reorder the terms:
5 * 4(1 + n) = 4 * 7n + -1

Multiply 5 * 4
20(1 + n) = 4 * 7n + -1
(1 * 20 + n * 20) = 4 * 7n + -1
(20 + 20n) = 4 * 7n + -1

Multiply 4 * 7
20 + 20n = 28n + -1

Reorder the terms:
20 + 20n = -1 + 28n

Solving
20 + 20n = -1 + 28n

Solving for variable 'n'.

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

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

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

Combine like terms: 28n + -28n = 0
20 + -8n = -1 + 0
20 + -8n = -1

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

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

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

Divide each side by '-8'.
n = 2.625

Simplifying
n = 2.625

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