-31p-6(5-6p)=2(p-4)-19

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Solution for -31p-6(5-6p)=2(p-4)-19 equation:


Simplifying
-31p + -6(5 + -6p) = 2(p + -4) + -19
-31p + (5 * -6 + -6p * -6) = 2(p + -4) + -19
-31p + (-30 + 36p) = 2(p + -4) + -19

Reorder the terms:
-30 + -31p + 36p = 2(p + -4) + -19

Combine like terms: -31p + 36p = 5p
-30 + 5p = 2(p + -4) + -19

Reorder the terms:
-30 + 5p = 2(-4 + p) + -19
-30 + 5p = (-4 * 2 + p * 2) + -19
-30 + 5p = (-8 + 2p) + -19

Reorder the terms:
-30 + 5p = -8 + -19 + 2p

Combine like terms: -8 + -19 = -27
-30 + 5p = -27 + 2p

Solving
-30 + 5p = -27 + 2p

Solving for variable 'p'.

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

Add '-2p' to each side of the equation.
-30 + 5p + -2p = -27 + 2p + -2p

Combine like terms: 5p + -2p = 3p
-30 + 3p = -27 + 2p + -2p

Combine like terms: 2p + -2p = 0
-30 + 3p = -27 + 0
-30 + 3p = -27

Add '30' to each side of the equation.
-30 + 30 + 3p = -27 + 30

Combine like terms: -30 + 30 = 0
0 + 3p = -27 + 30
3p = -27 + 30

Combine like terms: -27 + 30 = 3
3p = 3

Divide each side by '3'.
p = 1

Simplifying
p = 1

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