p+77=13(4-p)+14p-5

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Solution for p+77=13(4-p)+14p-5 equation:


Simplifying
p + 77 = 13(4 + -1p) + 14p + -5

Reorder the terms:
77 + p = 13(4 + -1p) + 14p + -5
77 + p = (4 * 13 + -1p * 13) + 14p + -5
77 + p = (52 + -13p) + 14p + -5

Reorder the terms:
77 + p = 52 + -5 + -13p + 14p

Combine like terms: 52 + -5 = 47
77 + p = 47 + -13p + 14p

Combine like terms: -13p + 14p = 1p
77 + p = 47 + 1p

Solving
77 + p = 47 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
77 + p + -1p = 47 + 1p + -1p

Combine like terms: p + -1p = 0
77 + 0 = 47 + 1p + -1p
77 = 47 + 1p + -1p

Combine like terms: 1p + -1p = 0
77 = 47 + 0
77 = 47

Add '-77' to each side of the equation.
77 + -77 = 47 + -77

Combine like terms: 77 + -77 = 0
0 = 47 + -77

Combine like terms: 47 + -77 = -30
0 = -30

Simplifying
0 = -30

Combine like terms: 0 + 30 = 30
30 = -30 + 30

Combine like terms: -30 + 30 = 0
30 = 0

The solution to this equation could not be determined.

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