4(p+2)-3(4-p)+24=34

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Solution for 4(p+2)-3(4-p)+24=34 equation: 


Simplifying
4(p + 2) + -3(4 + -1p) + 24 = 34

Reorder the terms:
4(2 + p) + -3(4 + -1p) + 24 = 34
(2 * 4 + p * 4) + -3(4 + -1p) + 24 = 34
(8 + 4p) + -3(4 + -1p) + 24 = 34
8 + 4p + (4 * -3 + -1p * -3) + 24 = 34
8 + 4p + (-12 + 3p) + 24 = 34

Reorder the terms:
8 + -12 + 24 + 4p + 3p = 34

Combine like terms: 8 + -12 = -4
-4 + 24 + 4p + 3p = 34

Combine like terms: -4 + 24 = 20
20 + 4p + 3p = 34

Combine like terms: 4p + 3p = 7p
20 + 7p = 34

Solving
20 + 7p = 34

Solving for variable 'p'.

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

Add '-20' to each side of the equation.
20 + -20 + 7p = 34 + -20

Combine like terms: 20 + -20 = 0
0 + 7p = 34 + -20
7p = 34 + -20

Combine like terms: 34 + -20 = 14
7p = 14

Divide each side by '7'.
p = 2

Simplifying
p = 2

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