-3(7p+5)-2(4-17p)=3(9+4p)

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Solution for -3(7p+5)-2(4-17p)=3(9+4p) equation:


Simplifying
-3(7p + 5) + -2(4 + -17p) = 3(9 + 4p)

Reorder the terms:
-3(5 + 7p) + -2(4 + -17p) = 3(9 + 4p)
(5 * -3 + 7p * -3) + -2(4 + -17p) = 3(9 + 4p)
(-15 + -21p) + -2(4 + -17p) = 3(9 + 4p)
-15 + -21p + (4 * -2 + -17p * -2) = 3(9 + 4p)
-15 + -21p + (-8 + 34p) = 3(9 + 4p)

Reorder the terms:
-15 + -8 + -21p + 34p = 3(9 + 4p)

Combine like terms: -15 + -8 = -23
-23 + -21p + 34p = 3(9 + 4p)

Combine like terms: -21p + 34p = 13p
-23 + 13p = 3(9 + 4p)
-23 + 13p = (9 * 3 + 4p * 3)
-23 + 13p = (27 + 12p)

Solving
-23 + 13p = 27 + 12p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-12p' to each side of the equation.
-23 + 13p + -12p = 27 + 12p + -12p

Combine like terms: 13p + -12p = 1p
-23 + 1p = 27 + 12p + -12p

Combine like terms: 12p + -12p = 0
-23 + 1p = 27 + 0
-23 + 1p = 27

Add '23' to each side of the equation.
-23 + 23 + 1p = 27 + 23

Combine like terms: -23 + 23 = 0
0 + 1p = 27 + 23
1p = 27 + 23

Combine like terms: 27 + 23 = 50
1p = 50

Divide each side by '1'.
p = 50

Simplifying
p = 50

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