28+6p=-5p+8(-p-6)

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Solution for 28+6p=-5p+8(-p-6) equation:


Simplifying
28 + 6p = -5p + 8(-1p + -6)

Reorder the terms:
28 + 6p = -5p + 8(-6 + -1p)
28 + 6p = -5p + (-6 * 8 + -1p * 8)
28 + 6p = -5p + (-48 + -8p)

Reorder the terms:
28 + 6p = -48 + -5p + -8p

Combine like terms: -5p + -8p = -13p
28 + 6p = -48 + -13p

Solving
28 + 6p = -48 + -13p

Solving for variable 'p'.

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

Add '13p' to each side of the equation.
28 + 6p + 13p = -48 + -13p + 13p

Combine like terms: 6p + 13p = 19p
28 + 19p = -48 + -13p + 13p

Combine like terms: -13p + 13p = 0
28 + 19p = -48 + 0
28 + 19p = -48

Add '-28' to each side of the equation.
28 + -28 + 19p = -48 + -28

Combine like terms: 28 + -28 = 0
0 + 19p = -48 + -28
19p = -48 + -28

Combine like terms: -48 + -28 = -76
19p = -76

Divide each side by '19'.
p = -4

Simplifying
p = -4

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