-3(8p+4)-2(2-23p)-3(5+7p)=0

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Solution for -3(8p+4)-2(2-23p)-3(5+7p)=0 equation: 


Simplifying
-3(8p + 4) + -2(2 + -23p) + -3(5 + 7p) = 0

Reorder the terms:
-3(4 + 8p) + -2(2 + -23p) + -3(5 + 7p) = 0
(4 * -3 + 8p * -3) + -2(2 + -23p) + -3(5 + 7p) = 0
(-12 + -24p) + -2(2 + -23p) + -3(5 + 7p) = 0
-12 + -24p + (2 * -2 + -23p * -2) + -3(5 + 7p) = 0
-12 + -24p + (-4 + 46p) + -3(5 + 7p) = 0
-12 + -24p + -4 + 46p + (5 * -3 + 7p * -3) = 0
-12 + -24p + -4 + 46p + (-15 + -21p) = 0

Reorder the terms:
-12 + -4 + -15 + -24p + 46p + -21p = 0

Combine like terms: -12 + -4 = -16
-16 + -15 + -24p + 46p + -21p = 0

Combine like terms: -16 + -15 = -31
-31 + -24p + 46p + -21p = 0

Combine like terms: -24p + 46p = 22p
-31 + 22p + -21p = 0

Combine like terms: 22p + -21p = 1p
-31 + 1p = 0

Solving
-31 + 1p = 0

Solving for variable 'p'.

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

Add '31' to each side of the equation.
-31 + 31 + 1p = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 1p = 0 + 31
1p = 0 + 31

Combine like terms: 0 + 31 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31

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