-2p-3=2(3p+9)-5(6+p)

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Solution for -2p-3=2(3p+9)-5(6+p) equation:


Simplifying
-2p + -3 = 2(3p + 9) + -5(6 + p)

Reorder the terms:
-3 + -2p = 2(3p + 9) + -5(6 + p)

Reorder the terms:
-3 + -2p = 2(9 + 3p) + -5(6 + p)
-3 + -2p = (9 * 2 + 3p * 2) + -5(6 + p)
-3 + -2p = (18 + 6p) + -5(6 + p)
-3 + -2p = 18 + 6p + (6 * -5 + p * -5)
-3 + -2p = 18 + 6p + (-30 + -5p)

Reorder the terms:
-3 + -2p = 18 + -30 + 6p + -5p

Combine like terms: 18 + -30 = -12
-3 + -2p = -12 + 6p + -5p

Combine like terms: 6p + -5p = 1p
-3 + -2p = -12 + 1p

Solving
-3 + -2p = -12 + 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.
-3 + -2p + -1p = -12 + 1p + -1p

Combine like terms: -2p + -1p = -3p
-3 + -3p = -12 + 1p + -1p

Combine like terms: 1p + -1p = 0
-3 + -3p = -12 + 0
-3 + -3p = -12

Add '3' to each side of the equation.
-3 + 3 + -3p = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -3p = -12 + 3
-3p = -12 + 3

Combine like terms: -12 + 3 = -9
-3p = -9

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

Simplifying
p = 3

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