-3(6p+4)-2(1-17)=3(5+5p)

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Solution for -3(6p+4)-2(1-17)=3(5+5p) equation: 


Simplifying
-3(6p + 4) + -2(1 + -17) = 3(5 + 5p)

Reorder the terms:
-3(4 + 6p) + -2(1 + -17) = 3(5 + 5p)
(4 * -3 + 6p * -3) + -2(1 + -17) = 3(5 + 5p)
(-12 + -18p) + -2(1 + -17) = 3(5 + 5p)

Combine like terms: 1 + -17 = -16
-12 + -18p + -2(-16) = 3(5 + 5p)

Multiply -2 * -16
-12 + -18p + 32 = 3(5 + 5p)

Reorder the terms:
-12 + 32 + -18p = 3(5 + 5p)

Combine like terms: -12 + 32 = 20
20 + -18p = 3(5 + 5p)
20 + -18p = (5 * 3 + 5p * 3)
20 + -18p = (15 + 15p)

Solving
20 + -18p = 15 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
20 + -18p + -15p = 15 + 15p + -15p

Combine like terms: -18p + -15p = -33p
20 + -33p = 15 + 15p + -15p

Combine like terms: 15p + -15p = 0
20 + -33p = 15 + 0
20 + -33p = 15

Add '-20' to each side of the equation.
20 + -20 + -33p = 15 + -20

Combine like terms: 20 + -20 = 0
0 + -33p = 15 + -20
-33p = 15 + -20

Combine like terms: 15 + -20 = -5
-33p = -5

Divide each side by '-33'.
p = 0.1515151515

Simplifying
p = 0.1515151515

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