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

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


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

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

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

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

Reorder the terms:
24 + -5p = -30 + p

Solving
24 + -5p = -30 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
24 + -5p + -1p = -30 + p + -1p

Combine like terms: -5p + -1p = -6p
24 + -6p = -30 + p + -1p

Combine like terms: p + -1p = 0
24 + -6p = -30 + 0
24 + -6p = -30

Add '-24' to each side of the equation.
24 + -24 + -6p = -30 + -24

Combine like terms: 24 + -24 = 0
0 + -6p = -30 + -24
-6p = -30 + -24

Combine like terms: -30 + -24 = -54
-6p = -54

Divide each side by '-6'.
p = 9

Simplifying
p = 9

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