5(3p-6)-4(p+11)=-19

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Solution for 5(3p-6)-4(p+11)=-19 equation: 


Simplifying
5(3p + -6) + -4(p + 11) = -19

Reorder the terms:
5(-6 + 3p) + -4(p + 11) = -19
(-6 * 5 + 3p * 5) + -4(p + 11) = -19
(-30 + 15p) + -4(p + 11) = -19

Reorder the terms:
-30 + 15p + -4(11 + p) = -19
-30 + 15p + (11 * -4 + p * -4) = -19
-30 + 15p + (-44 + -4p) = -19

Reorder the terms:
-30 + -44 + 15p + -4p = -19

Combine like terms: -30 + -44 = -74
-74 + 15p + -4p = -19

Combine like terms: 15p + -4p = 11p
-74 + 11p = -19

Solving
-74 + 11p = -19

Solving for variable 'p'.

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

Add '74' to each side of the equation.
-74 + 74 + 11p = -19 + 74

Combine like terms: -74 + 74 = 0
0 + 11p = -19 + 74
11p = -19 + 74

Combine like terms: -19 + 74 = 55
11p = 55

Divide each side by '11'.
p = 5

Simplifying
p = 5

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