-3(4p+5)-2(1-11p)=3(8+3p)

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Solution for -3(4p+5)-2(1-11p)=3(8+3p) equation:


Simplifying
-3(4p + 5) + -2(1 + -11p) = 3(8 + 3p)

Reorder the terms:
-3(5 + 4p) + -2(1 + -11p) = 3(8 + 3p)
(5 * -3 + 4p * -3) + -2(1 + -11p) = 3(8 + 3p)
(-15 + -12p) + -2(1 + -11p) = 3(8 + 3p)
-15 + -12p + (1 * -2 + -11p * -2) = 3(8 + 3p)
-15 + -12p + (-2 + 22p) = 3(8 + 3p)

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

Combine like terms: -15 + -2 = -17
-17 + -12p + 22p = 3(8 + 3p)

Combine like terms: -12p + 22p = 10p
-17 + 10p = 3(8 + 3p)
-17 + 10p = (8 * 3 + 3p * 3)
-17 + 10p = (24 + 9p)

Solving
-17 + 10p = 24 + 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.
-17 + 10p + -9p = 24 + 9p + -9p

Combine like terms: 10p + -9p = 1p
-17 + 1p = 24 + 9p + -9p

Combine like terms: 9p + -9p = 0
-17 + 1p = 24 + 0
-17 + 1p = 24

Add '17' to each side of the equation.
-17 + 17 + 1p = 24 + 17

Combine like terms: -17 + 17 = 0
0 + 1p = 24 + 17
1p = 24 + 17

Combine like terms: 24 + 17 = 41
1p = 41

Divide each side by '1'.
p = 41

Simplifying
p = 41

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