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

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


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

Reorder the terms:
-3(2 + 8p) + -2(1 + -17p) = 3(2 + 3p)
(2 * -3 + 8p * -3) + -2(1 + -17p) = 3(2 + 3p)
(-6 + -24p) + -2(1 + -17p) = 3(2 + 3p)
-6 + -24p + (1 * -2 + -17p * -2) = 3(2 + 3p)
-6 + -24p + (-2 + 34p) = 3(2 + 3p)

Reorder the terms:
-6 + -2 + -24p + 34p = 3(2 + 3p)

Combine like terms: -6 + -2 = -8
-8 + -24p + 34p = 3(2 + 3p)

Combine like terms: -24p + 34p = 10p
-8 + 10p = 3(2 + 3p)
-8 + 10p = (2 * 3 + 3p * 3)
-8 + 10p = (6 + 9p)

Solving
-8 + 10p = 6 + 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.
-8 + 10p + -9p = 6 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-8 + 1p = 6 + 9p + -9p

Combine like terms: 9p + -9p = 0
-8 + 1p = 6 + 0
-8 + 1p = 6

Add '8' to each side of the equation.
-8 + 8 + 1p = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 1p = 6 + 8
1p = 6 + 8

Combine like terms: 6 + 8 = 14
1p = 14

Divide each side by '1'.
p = 14

Simplifying
p = 14

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