-8(-6+3p)-1=-3(7p-5)-p

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Solution for -8(-6+3p)-1=-3(7p-5)-p equation: 


Simplifying
-8(-6 + 3p) + -1 = -3(7p + -5) + -1p
(-6 * -8 + 3p * -8) + -1 = -3(7p + -5) + -1p
(48 + -24p) + -1 = -3(7p + -5) + -1p

Reorder the terms:
48 + -1 + -24p = -3(7p + -5) + -1p

Combine like terms: 48 + -1 = 47
47 + -24p = -3(7p + -5) + -1p

Reorder the terms:
47 + -24p = -3(-5 + 7p) + -1p
47 + -24p = (-5 * -3 + 7p * -3) + -1p
47 + -24p = (15 + -21p) + -1p

Combine like terms: -21p + -1p = -22p
47 + -24p = 15 + -22p

Solving
47 + -24p = 15 + -22p

Solving for variable 'p'.

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

Add '22p' to each side of the equation.
47 + -24p + 22p = 15 + -22p + 22p

Combine like terms: -24p + 22p = -2p
47 + -2p = 15 + -22p + 22p

Combine like terms: -22p + 22p = 0
47 + -2p = 15 + 0
47 + -2p = 15

Add '-47' to each side of the equation.
47 + -47 + -2p = 15 + -47

Combine like terms: 47 + -47 = 0
0 + -2p = 15 + -47
-2p = 15 + -47

Combine like terms: 15 + -47 = -32
-2p = -32

Divide each side by '-2'.
p = 16

Simplifying
p = 16

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