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

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


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

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

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

Combine like terms: -12 + -6 = -18
-18 + -18p + 34p = 3(2 + 5p)

Combine like terms: -18p + 34p = 16p
-18 + 16p = 3(2 + 5p)
-18 + 16p = (2 * 3 + 5p * 3)
-18 + 16p = (6 + 15p)

Solving
-18 + 16p = 6 + 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.
-18 + 16p + -15p = 6 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-18 + 1p = 6 + 15p + -15p

Combine like terms: 15p + -15p = 0
-18 + 1p = 6 + 0
-18 + 1p = 6

Add '18' to each side of the equation.
-18 + 18 + 1p = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 6 + 18
1p = 6 + 18

Combine like terms: 6 + 18 = 24
1p = 24

Divide each side by '1'.
p = 24

Simplifying
p = 24

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