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

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


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

Reorder the terms:
-3(5 + 8p) + -2(4 + -20p) = 3(5 + 5p)
(5 * -3 + 8p * -3) + -2(4 + -20p) = 3(5 + 5p)
(-15 + -24p) + -2(4 + -20p) = 3(5 + 5p)
-15 + -24p + (4 * -2 + -20p * -2) = 3(5 + 5p)
-15 + -24p + (-8 + 40p) = 3(5 + 5p)

Reorder the terms:
-15 + -8 + -24p + 40p = 3(5 + 5p)

Combine like terms: -15 + -8 = -23
-23 + -24p + 40p = 3(5 + 5p)

Combine like terms: -24p + 40p = 16p
-23 + 16p = 3(5 + 5p)
-23 + 16p = (5 * 3 + 5p * 3)
-23 + 16p = (15 + 15p)

Solving
-23 + 16p = 15 + 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.
-23 + 16p + -15p = 15 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-23 + 1p = 15 + 15p + -15p

Combine like terms: 15p + -15p = 0
-23 + 1p = 15 + 0
-23 + 1p = 15

Add '23' to each side of the equation.
-23 + 23 + 1p = 15 + 23

Combine like terms: -23 + 23 = 0
0 + 1p = 15 + 23
1p = 15 + 23

Combine like terms: 15 + 23 = 38
1p = 38

Divide each side by '1'.
p = 38

Simplifying
p = 38

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