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

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


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

Reorder the terms:
-3(5 + 6p) + -2(6 + -17p) = 3(5 + 5p)
(5 * -3 + 6p * -3) + -2(6 + -17p) = 3(5 + 5p)
(-15 + -18p) + -2(6 + -17p) = 3(5 + 5p)
-15 + -18p + (6 * -2 + -17p * -2) = 3(5 + 5p)
-15 + -18p + (-12 + 34p) = 3(5 + 5p)

Reorder the terms:
-15 + -12 + -18p + 34p = 3(5 + 5p)

Combine like terms: -15 + -12 = -27
-27 + -18p + 34p = 3(5 + 5p)

Combine like terms: -18p + 34p = 16p
-27 + 16p = 3(5 + 5p)
-27 + 16p = (5 * 3 + 5p * 3)
-27 + 16p = (15 + 15p)

Solving
-27 + 16p = 15 + 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.
-27 + 16p + -15p = 15 + 15p + -15p

Combine like terms: 16p + -15p = 1p
-27 + 1p = 15 + 15p + -15p

Combine like terms: 15p + -15p = 0
-27 + 1p = 15 + 0
-27 + 1p = 15

Add '27' to each side of the equation.
-27 + 27 + 1p = 15 + 27

Combine like terms: -27 + 27 = 0
0 + 1p = 15 + 27
1p = 15 + 27

Combine like terms: 15 + 27 = 42
1p = 42

Divide each side by '1'.
p = 42

Simplifying
p = 42

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