9(1+3p)+11=-10+4(p-8)

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Solution for 9(1+3p)+11=-10+4(p-8) equation:


Simplifying
9(1 + 3p) + 11 = -10 + 4(p + -8)
(1 * 9 + 3p * 9) + 11 = -10 + 4(p + -8)
(9 + 27p) + 11 = -10 + 4(p + -8)

Reorder the terms:
9 + 11 + 27p = -10 + 4(p + -8)

Combine like terms: 9 + 11 = 20
20 + 27p = -10 + 4(p + -8)

Reorder the terms:
20 + 27p = -10 + 4(-8 + p)
20 + 27p = -10 + (-8 * 4 + p * 4)
20 + 27p = -10 + (-32 + 4p)

Combine like terms: -10 + -32 = -42
20 + 27p = -42 + 4p

Solving
20 + 27p = -42 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
20 + 27p + -4p = -42 + 4p + -4p

Combine like terms: 27p + -4p = 23p
20 + 23p = -42 + 4p + -4p

Combine like terms: 4p + -4p = 0
20 + 23p = -42 + 0
20 + 23p = -42

Add '-20' to each side of the equation.
20 + -20 + 23p = -42 + -20

Combine like terms: 20 + -20 = 0
0 + 23p = -42 + -20
23p = -42 + -20

Combine like terms: -42 + -20 = -62
23p = -62

Divide each side by '23'.
p = -2.695652174

Simplifying
p = -2.695652174

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