-3(6p+2)-2(6-17p)=3(7+5p)

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Solution for -3(6p+2)-2(6-17p)=3(7+5p) equation:


Simplifying
-3(6p + 2) + -2(6 + -17p) = 3(7 + 5p)

Reorder the terms:
-3(2 + 6p) + -2(6 + -17p) = 3(7 + 5p)
(2 * -3 + 6p * -3) + -2(6 + -17p) = 3(7 + 5p)
(-6 + -18p) + -2(6 + -17p) = 3(7 + 5p)
-6 + -18p + (6 * -2 + -17p * -2) = 3(7 + 5p)
-6 + -18p + (-12 + 34p) = 3(7 + 5p)

Reorder the terms:
-6 + -12 + -18p + 34p = 3(7 + 5p)

Combine like terms: -6 + -12 = -18
-18 + -18p + 34p = 3(7 + 5p)

Combine like terms: -18p + 34p = 16p
-18 + 16p = 3(7 + 5p)
-18 + 16p = (7 * 3 + 5p * 3)
-18 + 16p = (21 + 15p)

Solving
-18 + 16p = 21 + 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 = 21 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-18 + 1p = 21 + 15p + -15p

Combine like terms: 15p + -15p = 0
-18 + 1p = 21 + 0
-18 + 1p = 21

Add '18' to each side of the equation.
-18 + 18 + 1p = 21 + 18

Combine like terms: -18 + 18 = 0
0 + 1p = 21 + 18
1p = 21 + 18

Combine like terms: 21 + 18 = 39
1p = 39

Divide each side by '1'.
p = 39

Simplifying
p = 39

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