-3(8p+4)-2(6-20p)=3(7+5p)

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Solution for -3(8p+4)-2(6-20p)=3(7+5p) equation:


Simplifying
-3(8p + 4) + -2(6 + -20p) = 3(7 + 5p)

Reorder the terms:
-3(4 + 8p) + -2(6 + -20p) = 3(7 + 5p)
(4 * -3 + 8p * -3) + -2(6 + -20p) = 3(7 + 5p)
(-12 + -24p) + -2(6 + -20p) = 3(7 + 5p)
-12 + -24p + (6 * -2 + -20p * -2) = 3(7 + 5p)
-12 + -24p + (-12 + 40p) = 3(7 + 5p)

Reorder the terms:
-12 + -12 + -24p + 40p = 3(7 + 5p)

Combine like terms: -12 + -12 = -24
-24 + -24p + 40p = 3(7 + 5p)

Combine like terms: -24p + 40p = 16p
-24 + 16p = 3(7 + 5p)
-24 + 16p = (7 * 3 + 5p * 3)
-24 + 16p = (21 + 15p)

Solving
-24 + 16p = 21 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-24 + 16p + -15p = 21 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-24 + 1p = 21 + 15p + -15p

Combine like terms: 15p + -15p = 0
-24 + 1p = 21 + 0
-24 + 1p = 21

Add '24' to each side of the equation.
-24 + 24 + 1p = 21 + 24

Combine like terms: -24 + 24 = 0
0 + 1p = 21 + 24
1p = 21 + 24

Combine like terms: 21 + 24 = 45
1p = 45

Divide each side by '1'.
p = 45

Simplifying
p = 45

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