6(p-5)=8(p-5)

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


Simplifying
6(p + -5) = 8(p + -5)

Reorder the terms:
6(-5 + p) = 8(p + -5)
(-5 * 6 + p * 6) = 8(p + -5)
(-30 + 6p) = 8(p + -5)

Reorder the terms:
-30 + 6p = 8(-5 + p)
-30 + 6p = (-5 * 8 + p * 8)
-30 + 6p = (-40 + 8p)

Solving
-30 + 6p = -40 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-30 + 6p + -8p = -40 + 8p + -8p

Combine like terms: 6p + -8p = -2p
-30 + -2p = -40 + 8p + -8p

Combine like terms: 8p + -8p = 0
-30 + -2p = -40 + 0
-30 + -2p = -40

Add '30' to each side of the equation.
-30 + 30 + -2p = -40 + 30

Combine like terms: -30 + 30 = 0
0 + -2p = -40 + 30
-2p = -40 + 30

Combine like terms: -40 + 30 = -10
-2p = -10

Divide each side by '-2'.
p = 5

Simplifying
p = 5

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