2+5p=-8-5(7p+6)

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Solution for 2+5p=-8-5(7p+6) equation:


Simplifying
2 + 5p = -8 + -5(7p + 6)

Reorder the terms:
2 + 5p = -8 + -5(6 + 7p)
2 + 5p = -8 + (6 * -5 + 7p * -5)
2 + 5p = -8 + (-30 + -35p)

Combine like terms: -8 + -30 = -38
2 + 5p = -38 + -35p

Solving
2 + 5p = -38 + -35p

Solving for variable 'p'.

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

Add '35p' to each side of the equation.
2 + 5p + 35p = -38 + -35p + 35p

Combine like terms: 5p + 35p = 40p
2 + 40p = -38 + -35p + 35p

Combine like terms: -35p + 35p = 0
2 + 40p = -38 + 0
2 + 40p = -38

Add '-2' to each side of the equation.
2 + -2 + 40p = -38 + -2

Combine like terms: 2 + -2 = 0
0 + 40p = -38 + -2
40p = -38 + -2

Combine like terms: -38 + -2 = -40
40p = -40

Divide each side by '40'.
p = -1

Simplifying
p = -1

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