-3(5p+4)-2(5-11p)=3(8+2p)

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Solution for -3(5p+4)-2(5-11p)=3(8+2p) equation:


Simplifying
-3(5p + 4) + -2(5 + -11p) = 3(8 + 2p)

Reorder the terms:
-3(4 + 5p) + -2(5 + -11p) = 3(8 + 2p)
(4 * -3 + 5p * -3) + -2(5 + -11p) = 3(8 + 2p)
(-12 + -15p) + -2(5 + -11p) = 3(8 + 2p)
-12 + -15p + (5 * -2 + -11p * -2) = 3(8 + 2p)
-12 + -15p + (-10 + 22p) = 3(8 + 2p)

Reorder the terms:
-12 + -10 + -15p + 22p = 3(8 + 2p)

Combine like terms: -12 + -10 = -22
-22 + -15p + 22p = 3(8 + 2p)

Combine like terms: -15p + 22p = 7p
-22 + 7p = 3(8 + 2p)
-22 + 7p = (8 * 3 + 2p * 3)
-22 + 7p = (24 + 6p)

Solving
-22 + 7p = 24 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-22 + 7p + -6p = 24 + 6p + -6p

Combine like terms: 7p + -6p = 1p
-22 + 1p = 24 + 6p + -6p

Combine like terms: 6p + -6p = 0
-22 + 1p = 24 + 0
-22 + 1p = 24

Add '22' to each side of the equation.
-22 + 22 + 1p = 24 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 24 + 22
1p = 24 + 22

Combine like terms: 24 + 22 = 46
1p = 46

Divide each side by '1'.
p = 46

Simplifying
p = 46

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