-3(8p+4)-2(5-17p)=3(1+3p)

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Solution for -3(8p+4)-2(5-17p)=3(1+3p) equation:


Simplifying
-3(8p + 4) + -2(5 + -17p) = 3(1 + 3p)

Reorder the terms:
-3(4 + 8p) + -2(5 + -17p) = 3(1 + 3p)
(4 * -3 + 8p * -3) + -2(5 + -17p) = 3(1 + 3p)
(-12 + -24p) + -2(5 + -17p) = 3(1 + 3p)
-12 + -24p + (5 * -2 + -17p * -2) = 3(1 + 3p)
-12 + -24p + (-10 + 34p) = 3(1 + 3p)

Reorder the terms:
-12 + -10 + -24p + 34p = 3(1 + 3p)

Combine like terms: -12 + -10 = -22
-22 + -24p + 34p = 3(1 + 3p)

Combine like terms: -24p + 34p = 10p
-22 + 10p = 3(1 + 3p)
-22 + 10p = (1 * 3 + 3p * 3)
-22 + 10p = (3 + 9p)

Solving
-22 + 10p = 3 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
-22 + 10p + -9p = 3 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-22 + 1p = 3 + 9p + -9p

Combine like terms: 9p + -9p = 0
-22 + 1p = 3 + 0
-22 + 1p = 3

Add '22' to each side of the equation.
-22 + 22 + 1p = 3 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 3 + 22
1p = 3 + 22

Combine like terms: 3 + 22 = 25
1p = 25

Divide each side by '1'.
p = 25

Simplifying
p = 25

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