2p-7(p-1)=6(p-8)

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Solution for 2p-7(p-1)=6(p-8) equation:


Simplifying
2p + -7(p + -1) = 6(p + -8)

Reorder the terms:
2p + -7(-1 + p) = 6(p + -8)
2p + (-1 * -7 + p * -7) = 6(p + -8)
2p + (7 + -7p) = 6(p + -8)

Reorder the terms:
7 + 2p + -7p = 6(p + -8)

Combine like terms: 2p + -7p = -5p
7 + -5p = 6(p + -8)

Reorder the terms:
7 + -5p = 6(-8 + p)
7 + -5p = (-8 * 6 + p * 6)
7 + -5p = (-48 + 6p)

Solving
7 + -5p = -48 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
7 + -5p + -6p = -48 + 6p + -6p

Combine like terms: -5p + -6p = -11p
7 + -11p = -48 + 6p + -6p

Combine like terms: 6p + -6p = 0
7 + -11p = -48 + 0
7 + -11p = -48

Add '-7' to each side of the equation.
7 + -7 + -11p = -48 + -7

Combine like terms: 7 + -7 = 0
0 + -11p = -48 + -7
-11p = -48 + -7

Combine like terms: -48 + -7 = -55
-11p = -55

Divide each side by '-11'.
p = 5

Simplifying
p = 5

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