4(p+7)+5=5p+36

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Solution for 4(p+7)+5=5p+36 equation:


Simplifying
4(p + 7) + 5 = 5p + 36

Reorder the terms:
4(7 + p) + 5 = 5p + 36
(7 * 4 + p * 4) + 5 = 5p + 36
(28 + 4p) + 5 = 5p + 36

Reorder the terms:
28 + 5 + 4p = 5p + 36

Combine like terms: 28 + 5 = 33
33 + 4p = 5p + 36

Reorder the terms:
33 + 4p = 36 + 5p

Solving
33 + 4p = 36 + 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.
33 + 4p + -5p = 36 + 5p + -5p

Combine like terms: 4p + -5p = -1p
33 + -1p = 36 + 5p + -5p

Combine like terms: 5p + -5p = 0
33 + -1p = 36 + 0
33 + -1p = 36

Add '-33' to each side of the equation.
33 + -33 + -1p = 36 + -33

Combine like terms: 33 + -33 = 0
0 + -1p = 36 + -33
-1p = 36 + -33

Combine like terms: 36 + -33 = 3
-1p = 3

Divide each side by '-1'.
p = -3

Simplifying
p = -3

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