45+7p=5+5(p+4)

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Solution for 45+7p=5+5(p+4) equation:


Simplifying
45 + 7p = 5 + 5(p + 4)

Reorder the terms:
45 + 7p = 5 + 5(4 + p)
45 + 7p = 5 + (4 * 5 + p * 5)
45 + 7p = 5 + (20 + 5p)

Combine like terms: 5 + 20 = 25
45 + 7p = 25 + 5p

Solving
45 + 7p = 25 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
45 + 7p + -5p = 25 + 5p + -5p

Combine like terms: 7p + -5p = 2p
45 + 2p = 25 + 5p + -5p

Combine like terms: 5p + -5p = 0
45 + 2p = 25 + 0
45 + 2p = 25

Add '-45' to each side of the equation.
45 + -45 + 2p = 25 + -45

Combine like terms: 45 + -45 = 0
0 + 2p = 25 + -45
2p = 25 + -45

Combine like terms: 25 + -45 = -20
2p = -20

Divide each side by '2'.
p = -10

Simplifying
p = -10

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