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

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


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

Reorder the terms:
-3(6 + 5p) + -2(2 + -17p) = 3(7 + 6p)
(6 * -3 + 5p * -3) + -2(2 + -17p) = 3(7 + 6p)
(-18 + -15p) + -2(2 + -17p) = 3(7 + 6p)
-18 + -15p + (2 * -2 + -17p * -2) = 3(7 + 6p)
-18 + -15p + (-4 + 34p) = 3(7 + 6p)

Reorder the terms:
-18 + -4 + -15p + 34p = 3(7 + 6p)

Combine like terms: -18 + -4 = -22
-22 + -15p + 34p = 3(7 + 6p)

Combine like terms: -15p + 34p = 19p
-22 + 19p = 3(7 + 6p)
-22 + 19p = (7 * 3 + 6p * 3)
-22 + 19p = (21 + 18p)

Solving
-22 + 19p = 21 + 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.
-22 + 19p + -18p = 21 + 18p + -18p

Combine like terms: 19p + -18p = 1p
-22 + 1p = 21 + 18p + -18p

Combine like terms: 18p + -18p = 0
-22 + 1p = 21 + 0
-22 + 1p = 21

Add '22' to each side of the equation.
-22 + 22 + 1p = 21 + 22

Combine like terms: -22 + 22 = 0
0 + 1p = 21 + 22
1p = 21 + 22

Combine like terms: 21 + 22 = 43
1p = 43

Divide each side by '1'.
p = 43

Simplifying
p = 43

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