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

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


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

Reorder the terms:
-3(3 + 8p) + -2(3 + -23p) = 3(7 + 7p)
(3 * -3 + 8p * -3) + -2(3 + -23p) = 3(7 + 7p)
(-9 + -24p) + -2(3 + -23p) = 3(7 + 7p)
-9 + -24p + (3 * -2 + -23p * -2) = 3(7 + 7p)
-9 + -24p + (-6 + 46p) = 3(7 + 7p)

Reorder the terms:
-9 + -6 + -24p + 46p = 3(7 + 7p)

Combine like terms: -9 + -6 = -15
-15 + -24p + 46p = 3(7 + 7p)

Combine like terms: -24p + 46p = 22p
-15 + 22p = 3(7 + 7p)
-15 + 22p = (7 * 3 + 7p * 3)
-15 + 22p = (21 + 21p)

Solving
-15 + 22p = 21 + 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.
-15 + 22p + -21p = 21 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-15 + 1p = 21 + 21p + -21p

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

Add '15' to each side of the equation.
-15 + 15 + 1p = 21 + 15

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

Combine like terms: 21 + 15 = 36
1p = 36

Divide each side by '1'.
p = 36

Simplifying
p = 36

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