-6p-2(5-6P)=3(p-5)-19

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Solution for -6p-2(5-6P)=3(p-5)-19 equation:


Simplifying
-6p + -2(5 + -6P) = 3(p + -5) + -19
-6p + (5 * -2 + -6P * -2) = 3(p + -5) + -19
-6p + (-10 + 12P) = 3(p + -5) + -19

Reorder the terms:
-10 + 12P + -6p = 3(p + -5) + -19

Reorder the terms:
-10 + 12P + -6p = 3(-5 + p) + -19
-10 + 12P + -6p = (-5 * 3 + p * 3) + -19
-10 + 12P + -6p = (-15 + 3p) + -19

Reorder the terms:
-10 + 12P + -6p = -15 + -19 + 3p

Combine like terms: -15 + -19 = -34
-10 + 12P + -6p = -34 + 3p

Solving
-10 + 12P + -6p = -34 + 3p

Solving for variable 'P'.

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

Add '10' to each side of the equation.
-10 + 12P + 10 + -6p = -34 + 10 + 3p

Reorder the terms:
-10 + 10 + 12P + -6p = -34 + 10 + 3p

Combine like terms: -10 + 10 = 0
0 + 12P + -6p = -34 + 10 + 3p
12P + -6p = -34 + 10 + 3p

Combine like terms: -34 + 10 = -24
12P + -6p = -24 + 3p

Add '6p' to each side of the equation.
12P + -6p + 6p = -24 + 3p + 6p

Combine like terms: -6p + 6p = 0
12P + 0 = -24 + 3p + 6p
12P = -24 + 3p + 6p

Combine like terms: 3p + 6p = 9p
12P = -24 + 9p

Divide each side by '12'.
P = -2 + 0.75p

Simplifying
P = -2 + 0.75p

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