8(5p-3)-8(4p+7)=-48

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Solution for 8(5p-3)-8(4p+7)=-48 equation: 


Simplifying
8(5p + -3) + -8(4p + 7) = -48

Reorder the terms:
8(-3 + 5p) + -8(4p + 7) = -48
(-3 * 8 + 5p * 8) + -8(4p + 7) = -48
(-24 + 40p) + -8(4p + 7) = -48

Reorder the terms:
-24 + 40p + -8(7 + 4p) = -48
-24 + 40p + (7 * -8 + 4p * -8) = -48
-24 + 40p + (-56 + -32p) = -48

Reorder the terms:
-24 + -56 + 40p + -32p = -48

Combine like terms: -24 + -56 = -80
-80 + 40p + -32p = -48

Combine like terms: 40p + -32p = 8p
-80 + 8p = -48

Solving
-80 + 8p = -48

Solving for variable 'p'.

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

Add '80' to each side of the equation.
-80 + 80 + 8p = -48 + 80

Combine like terms: -80 + 80 = 0
0 + 8p = -48 + 80
8p = -48 + 80

Combine like terms: -48 + 80 = 32
8p = 32

Divide each side by '8'.
p = 4

Simplifying
p = 4

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