-3(6+5)-2(4-17p)=3(9+5p)

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Solution for -3(6+5)-2(4-17p)=3(9+5p) equation: 


Simplifying
-3(6 + 5) + -2(4 + -17p) = 3(9 + 5p)

Combine like terms: 6 + 5 = 11
-3(11) + -2(4 + -17p) = 3(9 + 5p)

Multiply -3 * 11
-33 + -2(4 + -17p) = 3(9 + 5p)
-33 + (4 * -2 + -17p * -2) = 3(9 + 5p)
-33 + (-8 + 34p) = 3(9 + 5p)

Combine like terms: -33 + -8 = -41
-41 + 34p = 3(9 + 5p)
-41 + 34p = (9 * 3 + 5p * 3)
-41 + 34p = (27 + 15p)

Solving
-41 + 34p = 27 + 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.
-41 + 34p + -15p = 27 + 15p + -15p

Combine like terms: 34p + -15p = 19p
-41 + 19p = 27 + 15p + -15p

Combine like terms: 15p + -15p = 0
-41 + 19p = 27 + 0
-41 + 19p = 27

Add '41' to each side of the equation.
-41 + 41 + 19p = 27 + 41

Combine like terms: -41 + 41 = 0
0 + 19p = 27 + 41
19p = 27 + 41

Combine like terms: 27 + 41 = 68
19p = 68

Divide each side by '19'.
p = 3.578947368

Simplifying
p = 3.578947368

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