3p+7=-5(p+9)+2(2-4p)

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Solution for 3p+7=-5(p+9)+2(2-4p) equation:


Simplifying
3p + 7 = -5(p + 9) + 2(2 + -4p)

Reorder the terms:
7 + 3p = -5(p + 9) + 2(2 + -4p)

Reorder the terms:
7 + 3p = -5(9 + p) + 2(2 + -4p)
7 + 3p = (9 * -5 + p * -5) + 2(2 + -4p)
7 + 3p = (-45 + -5p) + 2(2 + -4p)
7 + 3p = -45 + -5p + (2 * 2 + -4p * 2)
7 + 3p = -45 + -5p + (4 + -8p)

Reorder the terms:
7 + 3p = -45 + 4 + -5p + -8p

Combine like terms: -45 + 4 = -41
7 + 3p = -41 + -5p + -8p

Combine like terms: -5p + -8p = -13p
7 + 3p = -41 + -13p

Solving
7 + 3p = -41 + -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.
7 + 3p + 13p = -41 + -13p + 13p

Combine like terms: 3p + 13p = 16p
7 + 16p = -41 + -13p + 13p

Combine like terms: -13p + 13p = 0
7 + 16p = -41 + 0
7 + 16p = -41

Add '-7' to each side of the equation.
7 + -7 + 16p = -41 + -7

Combine like terms: 7 + -7 = 0
0 + 16p = -41 + -7
16p = -41 + -7

Combine like terms: -41 + -7 = -48
16p = -48

Divide each side by '16'.
p = -3

Simplifying
p = -3

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