34-5(2+p)=9+6(4-9)

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Solution for 34-5(2+p)=9+6(4-9) equation: 


Simplifying
34 + -5(2 + p) = 9 + 6(4 + -9)
34 + (2 * -5 + p * -5) = 9 + 6(4 + -9)
34 + (-10 + -5p) = 9 + 6(4 + -9)

Combine like terms: 34 + -10 = 24
24 + -5p = 9 + 6(4 + -9)

Combine like terms: 4 + -9 = -5
24 + -5p = 9 + 6(-5)

Multiply 6 * -5
24 + -5p = 9 + -30

Combine like terms: 9 + -30 = -21
24 + -5p = -21

Solving
24 + -5p = -21

Solving for variable 'p'.

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

Add '-24' to each side of the equation.
24 + -24 + -5p = -21 + -24

Combine like terms: 24 + -24 = 0
0 + -5p = -21 + -24
-5p = -21 + -24

Combine like terms: -21 + -24 = -45
-5p = -45

Divide each side by '-5'.
p = 9

Simplifying
p = 9

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