66=5(8-2p)-6(p-7)

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Solution for 66=5(8-2p)-6(p-7) equation: 


Simplifying
66 = 5(8 + -2p) + -6(p + -7)
66 = (8 * 5 + -2p * 5) + -6(p + -7)
66 = (40 + -10p) + -6(p + -7)

Reorder the terms:
66 = 40 + -10p + -6(-7 + p)
66 = 40 + -10p + (-7 * -6 + p * -6)
66 = 40 + -10p + (42 + -6p)

Reorder the terms:
66 = 40 + 42 + -10p + -6p

Combine like terms: 40 + 42 = 82
66 = 82 + -10p + -6p

Combine like terms: -10p + -6p = -16p
66 = 82 + -16p

Solving
66 = 82 + -16p

Solving for variable 'p'.

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

Add '16p' to each side of the equation.
66 + 16p = 82 + -16p + 16p

Combine like terms: -16p + 16p = 0
66 + 16p = 82 + 0
66 + 16p = 82

Add '-66' to each side of the equation.
66 + -66 + 16p = 82 + -66

Combine like terms: 66 + -66 = 0
0 + 16p = 82 + -66
16p = 82 + -66

Combine like terms: 82 + -66 = 16
16p = 16

Divide each side by '16'.
p = 1

Simplifying
p = 1

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