-3(8p+6)-2(2-23p)=3(3+7p)

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Solution for -3(8p+6)-2(2-23p)=3(3+7p) equation:


Simplifying
-3(8p + 6) + -2(2 + -23p) = 3(3 + 7p)

Reorder the terms:
-3(6 + 8p) + -2(2 + -23p) = 3(3 + 7p)
(6 * -3 + 8p * -3) + -2(2 + -23p) = 3(3 + 7p)
(-18 + -24p) + -2(2 + -23p) = 3(3 + 7p)
-18 + -24p + (2 * -2 + -23p * -2) = 3(3 + 7p)
-18 + -24p + (-4 + 46p) = 3(3 + 7p)

Reorder the terms:
-18 + -4 + -24p + 46p = 3(3 + 7p)

Combine like terms: -18 + -4 = -22
-22 + -24p + 46p = 3(3 + 7p)

Combine like terms: -24p + 46p = 22p
-22 + 22p = 3(3 + 7p)
-22 + 22p = (3 * 3 + 7p * 3)
-22 + 22p = (9 + 21p)

Solving
-22 + 22p = 9 + 21p

Solving for variable 'p'.

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

Add '-21p' to each side of the equation.
-22 + 22p + -21p = 9 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-22 + 1p = 9 + 21p + -21p

Combine like terms: 21p + -21p = 0
-22 + 1p = 9 + 0
-22 + 1p = 9

Add '22' to each side of the equation.
-22 + 22 + 1p = 9 + 22

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

Combine like terms: 9 + 22 = 31
1p = 31

Divide each side by '1'.
p = 31

Simplifying
p = 31

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