-7(2p+2)-34=4(5p+5)

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Solution for -7(2p+2)-34=4(5p+5) equation: 


Simplifying
-7(2p + 2) + -34 = 4(5p + 5)

Reorder the terms:
-7(2 + 2p) + -34 = 4(5p + 5)
(2 * -7 + 2p * -7) + -34 = 4(5p + 5)
(-14 + -14p) + -34 = 4(5p + 5)

Reorder the terms:
-14 + -34 + -14p = 4(5p + 5)

Combine like terms: -14 + -34 = -48
-48 + -14p = 4(5p + 5)

Reorder the terms:
-48 + -14p = 4(5 + 5p)
-48 + -14p = (5 * 4 + 5p * 4)
-48 + -14p = (20 + 20p)

Solving
-48 + -14p = 20 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
-48 + -14p + -20p = 20 + 20p + -20p

Combine like terms: -14p + -20p = -34p
-48 + -34p = 20 + 20p + -20p

Combine like terms: 20p + -20p = 0
-48 + -34p = 20 + 0
-48 + -34p = 20

Add '48' to each side of the equation.
-48 + 48 + -34p = 20 + 48

Combine like terms: -48 + 48 = 0
0 + -34p = 20 + 48
-34p = 20 + 48

Combine like terms: 20 + 48 = 68
-34p = 68

Divide each side by '-34'.
p = -2

Simplifying
p = -2

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