528=n+8(8n+1)

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Solution for 528=n+8(8n+1) equation:


Simplifying
528 = n + 8(8n + 1)

Reorder the terms:
528 = n + 8(1 + 8n)
528 = n + (1 * 8 + 8n * 8)
528 = n + (8 + 64n)

Reorder the terms:
528 = 8 + n + 64n

Combine like terms: n + 64n = 65n
528 = 8 + 65n

Solving
528 = 8 + 65n

Solving for variable 'n'.

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

Add '-65n' to each side of the equation.
528 + -65n = 8 + 65n + -65n

Combine like terms: 65n + -65n = 0
528 + -65n = 8 + 0
528 + -65n = 8

Add '-528' to each side of the equation.
528 + -528 + -65n = 8 + -528

Combine like terms: 528 + -528 = 0
0 + -65n = 8 + -528
-65n = 8 + -528

Combine like terms: 8 + -528 = -520
-65n = -520

Divide each side by '-65'.
n = 8

Simplifying
n = 8

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