402=2+8(7p+1)

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Solution for 402=2+8(7p+1) equation:


Simplifying
402 = 2 + 8(7p + 1)

Reorder the terms:
402 = 2 + 8(1 + 7p)
402 = 2 + (1 * 8 + 7p * 8)
402 = 2 + (8 + 56p)

Combine like terms: 2 + 8 = 10
402 = 10 + 56p

Solving
402 = 10 + 56p

Solving for variable 'p'.

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

Add '-56p' to each side of the equation.
402 + -56p = 10 + 56p + -56p

Combine like terms: 56p + -56p = 0
402 + -56p = 10 + 0
402 + -56p = 10

Add '-402' to each side of the equation.
402 + -402 + -56p = 10 + -402

Combine like terms: 402 + -402 = 0
0 + -56p = 10 + -402
-56p = 10 + -402

Combine like terms: 10 + -402 = -392
-56p = -392

Divide each side by '-56'.
p = 7

Simplifying
p = 7

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