5(p+8)+7=4(5+8p)

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Solution for 5(p+8)+7=4(5+8p) equation:


Simplifying
5(p + 8) + 7 = 4(5 + 8p)

Reorder the terms:
5(8 + p) + 7 = 4(5 + 8p)
(8 * 5 + p * 5) + 7 = 4(5 + 8p)
(40 + 5p) + 7 = 4(5 + 8p)

Reorder the terms:
40 + 7 + 5p = 4(5 + 8p)

Combine like terms: 40 + 7 = 47
47 + 5p = 4(5 + 8p)
47 + 5p = (5 * 4 + 8p * 4)
47 + 5p = (20 + 32p)

Solving
47 + 5p = 20 + 32p

Solving for variable 'p'.

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

Add '-32p' to each side of the equation.
47 + 5p + -32p = 20 + 32p + -32p

Combine like terms: 5p + -32p = -27p
47 + -27p = 20 + 32p + -32p

Combine like terms: 32p + -32p = 0
47 + -27p = 20 + 0
47 + -27p = 20

Add '-47' to each side of the equation.
47 + -47 + -27p = 20 + -47

Combine like terms: 47 + -47 = 0
0 + -27p = 20 + -47
-27p = 20 + -47

Combine like terms: 20 + -47 = -27
-27p = -27

Divide each side by '-27'.
p = 1

Simplifying
p = 1

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