-3(3p+5)-2(6-11p)=3(5+4p)

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Solution for -3(3p+5)-2(6-11p)=3(5+4p) equation:


Simplifying
-3(3p + 5) + -2(6 + -11p) = 3(5 + 4p)

Reorder the terms:
-3(5 + 3p) + -2(6 + -11p) = 3(5 + 4p)
(5 * -3 + 3p * -3) + -2(6 + -11p) = 3(5 + 4p)
(-15 + -9p) + -2(6 + -11p) = 3(5 + 4p)
-15 + -9p + (6 * -2 + -11p * -2) = 3(5 + 4p)
-15 + -9p + (-12 + 22p) = 3(5 + 4p)

Reorder the terms:
-15 + -12 + -9p + 22p = 3(5 + 4p)

Combine like terms: -15 + -12 = -27
-27 + -9p + 22p = 3(5 + 4p)

Combine like terms: -9p + 22p = 13p
-27 + 13p = 3(5 + 4p)
-27 + 13p = (5 * 3 + 4p * 3)
-27 + 13p = (15 + 12p)

Solving
-27 + 13p = 15 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-27 + 13p + -12p = 15 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-27 + 1p = 15 + 12p + -12p

Combine like terms: 12p + -12p = 0
-27 + 1p = 15 + 0
-27 + 1p = 15

Add '27' to each side of the equation.
-27 + 27 + 1p = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = 15 + 27
1p = 15 + 27

Combine like terms: 15 + 27 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42

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