-3(6p+3)-2(6-17p)=3(8+5p)

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Solution for -3(6p+3)-2(6-17p)=3(8+5p) equation:


Simplifying
-3(6p + 3) + -2(6 + -17p) = 3(8 + 5p)

Reorder the terms:
-3(3 + 6p) + -2(6 + -17p) = 3(8 + 5p)
(3 * -3 + 6p * -3) + -2(6 + -17p) = 3(8 + 5p)
(-9 + -18p) + -2(6 + -17p) = 3(8 + 5p)
-9 + -18p + (6 * -2 + -17p * -2) = 3(8 + 5p)
-9 + -18p + (-12 + 34p) = 3(8 + 5p)

Reorder the terms:
-9 + -12 + -18p + 34p = 3(8 + 5p)

Combine like terms: -9 + -12 = -21
-21 + -18p + 34p = 3(8 + 5p)

Combine like terms: -18p + 34p = 16p
-21 + 16p = 3(8 + 5p)
-21 + 16p = (8 * 3 + 5p * 3)
-21 + 16p = (24 + 15p)

Solving
-21 + 16p = 24 + 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.
-21 + 16p + -15p = 24 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-21 + 1p = 24 + 15p + -15p

Combine like terms: 15p + -15p = 0
-21 + 1p = 24 + 0
-21 + 1p = 24

Add '21' to each side of the equation.
-21 + 21 + 1p = 24 + 21

Combine like terms: -21 + 21 = 0
0 + 1p = 24 + 21
1p = 24 + 21

Combine like terms: 24 + 21 = 45
1p = 45

Divide each side by '1'.
p = 45

Simplifying
p = 45

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