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

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


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

Reorder the terms:
-3(6 + 5p) + -2(1 + -17p) = 3(3 + 6p)
(6 * -3 + 5p * -3) + -2(1 + -17p) = 3(3 + 6p)
(-18 + -15p) + -2(1 + -17p) = 3(3 + 6p)
-18 + -15p + (1 * -2 + -17p * -2) = 3(3 + 6p)
-18 + -15p + (-2 + 34p) = 3(3 + 6p)

Reorder the terms:
-18 + -2 + -15p + 34p = 3(3 + 6p)

Combine like terms: -18 + -2 = -20
-20 + -15p + 34p = 3(3 + 6p)

Combine like terms: -15p + 34p = 19p
-20 + 19p = 3(3 + 6p)
-20 + 19p = (3 * 3 + 6p * 3)
-20 + 19p = (9 + 18p)

Solving
-20 + 19p = 9 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
-20 + 19p + -18p = 9 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-20 + 1p = 9 + 18p + -18p

Combine like terms: 18p + -18p = 0
-20 + 1p = 9 + 0
-20 + 1p = 9

Add '20' to each side of the equation.
-20 + 20 + 1p = 9 + 20

Combine like terms: -20 + 20 = 0
0 + 1p = 9 + 20
1p = 9 + 20

Combine like terms: 9 + 20 = 29
1p = 29

Divide each side by '1'.
p = 29

Simplifying
p = 29

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