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

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


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

Reorder the terms:
-3(4 + 6p) + -2(6 + -17p) = 3(5 + 5p)
(4 * -3 + 6p * -3) + -2(6 + -17p) = 3(5 + 5p)
(-12 + -18p) + -2(6 + -17p) = 3(5 + 5p)
-12 + -18p + (6 * -2 + -17p * -2) = 3(5 + 5p)
-12 + -18p + (-12 + 34p) = 3(5 + 5p)

Reorder the terms:
-12 + -12 + -18p + 34p = 3(5 + 5p)

Combine like terms: -12 + -12 = -24
-24 + -18p + 34p = 3(5 + 5p)

Combine like terms: -18p + 34p = 16p
-24 + 16p = 3(5 + 5p)
-24 + 16p = (5 * 3 + 5p * 3)
-24 + 16p = (15 + 15p)

Solving
-24 + 16p = 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.
-24 + 16p + -15p = 15 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-24 + 1p = 15 + 15p + -15p

Combine like terms: 15p + -15p = 0
-24 + 1p = 15 + 0
-24 + 1p = 15

Add '24' to each side of the equation.
-24 + 24 + 1p = 15 + 24

Combine like terms: -24 + 24 = 0
0 + 1p = 15 + 24
1p = 15 + 24

Combine like terms: 15 + 24 = 39
1p = 39

Divide each side by '1'.
p = 39

Simplifying
p = 39

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