-5(2p+4)-34=2(5p+3)

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Solution for -5(2p+4)-34=2(5p+3) equation:


Simplifying
-5(2p + 4) + -34 = 2(5p + 3)

Reorder the terms:
-5(4 + 2p) + -34 = 2(5p + 3)
(4 * -5 + 2p * -5) + -34 = 2(5p + 3)
(-20 + -10p) + -34 = 2(5p + 3)

Reorder the terms:
-20 + -34 + -10p = 2(5p + 3)

Combine like terms: -20 + -34 = -54
-54 + -10p = 2(5p + 3)

Reorder the terms:
-54 + -10p = 2(3 + 5p)
-54 + -10p = (3 * 2 + 5p * 2)
-54 + -10p = (6 + 10p)

Solving
-54 + -10p = 6 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-54 + -10p + -10p = 6 + 10p + -10p

Combine like terms: -10p + -10p = -20p
-54 + -20p = 6 + 10p + -10p

Combine like terms: 10p + -10p = 0
-54 + -20p = 6 + 0
-54 + -20p = 6

Add '54' to each side of the equation.
-54 + 54 + -20p = 6 + 54

Combine like terms: -54 + 54 = 0
0 + -20p = 6 + 54
-20p = 6 + 54

Combine like terms: 6 + 54 = 60
-20p = 60

Divide each side by '-20'.
p = -3

Simplifying
p = -3

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