5(4+p)-3(3p-1)=10-19

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Solution for 5(4+p)-3(3p-1)=10-19 equation:


Simplifying
5(4 + p) + -3(3p + -1) = 10 + -19
(4 * 5 + p * 5) + -3(3p + -1) = 10 + -19
(20 + 5p) + -3(3p + -1) = 10 + -19

Reorder the terms:
20 + 5p + -3(-1 + 3p) = 10 + -19
20 + 5p + (-1 * -3 + 3p * -3) = 10 + -19
20 + 5p + (3 + -9p) = 10 + -19

Reorder the terms:
20 + 3 + 5p + -9p = 10 + -19

Combine like terms: 20 + 3 = 23
23 + 5p + -9p = 10 + -19

Combine like terms: 5p + -9p = -4p
23 + -4p = 10 + -19

Combine like terms: 10 + -19 = -9
23 + -4p = -9

Solving
23 + -4p = -9

Solving for variable 'p'.

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

Add '-23' to each side of the equation.
23 + -23 + -4p = -9 + -23

Combine like terms: 23 + -23 = 0
0 + -4p = -9 + -23
-4p = -9 + -23

Combine like terms: -9 + -23 = -32
-4p = -32

Divide each side by '-4'.
p = 8

Simplifying
p = 8

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