-3(8p+5)-2(5-23p)=3(5+7p)

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Solution for -3(8p+5)-2(5-23p)=3(5+7p) equation:


Simplifying
-3(8p + 5) + -2(5 + -23p) = 3(5 + 7p)

Reorder the terms:
-3(5 + 8p) + -2(5 + -23p) = 3(5 + 7p)
(5 * -3 + 8p * -3) + -2(5 + -23p) = 3(5 + 7p)
(-15 + -24p) + -2(5 + -23p) = 3(5 + 7p)
-15 + -24p + (5 * -2 + -23p * -2) = 3(5 + 7p)
-15 + -24p + (-10 + 46p) = 3(5 + 7p)

Reorder the terms:
-15 + -10 + -24p + 46p = 3(5 + 7p)

Combine like terms: -15 + -10 = -25
-25 + -24p + 46p = 3(5 + 7p)

Combine like terms: -24p + 46p = 22p
-25 + 22p = 3(5 + 7p)
-25 + 22p = (5 * 3 + 7p * 3)
-25 + 22p = (15 + 21p)

Solving
-25 + 22p = 15 + 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.
-25 + 22p + -21p = 15 + 21p + -21p

Combine like terms: 22p + -21p = 1p
-25 + 1p = 15 + 21p + -21p

Combine like terms: 21p + -21p = 0
-25 + 1p = 15 + 0
-25 + 1p = 15

Add '25' to each side of the equation.
-25 + 25 + 1p = 15 + 25

Combine like terms: -25 + 25 = 0
0 + 1p = 15 + 25
1p = 15 + 25

Combine like terms: 15 + 25 = 40
1p = 40

Divide each side by '1'.
p = 40

Simplifying
p = 40

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