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

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


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

Reorder the terms:
-3(4 + 5p) + -2(4 + -17p) = 3(1 + 6p)
(4 * -3 + 5p * -3) + -2(4 + -17p) = 3(1 + 6p)
(-12 + -15p) + -2(4 + -17p) = 3(1 + 6p)
-12 + -15p + (4 * -2 + -17p * -2) = 3(1 + 6p)
-12 + -15p + (-8 + 34p) = 3(1 + 6p)

Reorder the terms:
-12 + -8 + -15p + 34p = 3(1 + 6p)

Combine like terms: -12 + -8 = -20
-20 + -15p + 34p = 3(1 + 6p)

Combine like terms: -15p + 34p = 19p
-20 + 19p = 3(1 + 6p)
-20 + 19p = (1 * 3 + 6p * 3)
-20 + 19p = (3 + 18p)

Solving
-20 + 19p = 3 + 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 = 3 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-20 + 1p = 3 + 18p + -18p

Combine like terms: 18p + -18p = 0
-20 + 1p = 3 + 0
-20 + 1p = 3

Add '20' to each side of the equation.
-20 + 20 + 1p = 3 + 20

Combine like terms: -20 + 20 = 0
0 + 1p = 3 + 20
1p = 3 + 20

Combine like terms: 3 + 20 = 23
1p = 23

Divide each side by '1'.
p = 23

Simplifying
p = 23

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