2p-6=8+5(1p+9)

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Solution for 2p-6=8+5(1p+9) equation:


Simplifying
2p + -6 = 8 + 5(1p + 9)

Reorder the terms:
-6 + 2p = 8 + 5(1p + 9)

Reorder the terms:
-6 + 2p = 8 + 5(9 + 1p)
-6 + 2p = 8 + (9 * 5 + 1p * 5)
-6 + 2p = 8 + (45 + 5p)

Combine like terms: 8 + 45 = 53
-6 + 2p = 53 + 5p

Solving
-6 + 2p = 53 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
-6 + 2p + -5p = 53 + 5p + -5p

Combine like terms: 2p + -5p = -3p
-6 + -3p = 53 + 5p + -5p

Combine like terms: 5p + -5p = 0
-6 + -3p = 53 + 0
-6 + -3p = 53

Add '6' to each side of the equation.
-6 + 6 + -3p = 53 + 6

Combine like terms: -6 + 6 = 0
0 + -3p = 53 + 6
-3p = 53 + 6

Combine like terms: 53 + 6 = 59
-3p = 59

Divide each side by '-3'.
p = -19.66666667

Simplifying
p = -19.66666667

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