16p-4(4-5p)=2(p-3)-2

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Solution for 16p-4(4-5p)=2(p-3)-2 equation:


Simplifying
16p + -4(4 + -5p) = 2(p + -3) + -2
16p + (4 * -4 + -5p * -4) = 2(p + -3) + -2
16p + (-16 + 20p) = 2(p + -3) + -2

Reorder the terms:
-16 + 16p + 20p = 2(p + -3) + -2

Combine like terms: 16p + 20p = 36p
-16 + 36p = 2(p + -3) + -2

Reorder the terms:
-16 + 36p = 2(-3 + p) + -2
-16 + 36p = (-3 * 2 + p * 2) + -2
-16 + 36p = (-6 + 2p) + -2

Reorder the terms:
-16 + 36p = -6 + -2 + 2p

Combine like terms: -6 + -2 = -8
-16 + 36p = -8 + 2p

Solving
-16 + 36p = -8 + 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.
-16 + 36p + -2p = -8 + 2p + -2p

Combine like terms: 36p + -2p = 34p
-16 + 34p = -8 + 2p + -2p

Combine like terms: 2p + -2p = 0
-16 + 34p = -8 + 0
-16 + 34p = -8

Add '16' to each side of the equation.
-16 + 16 + 34p = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 34p = -8 + 16
34p = -8 + 16

Combine like terms: -8 + 16 = 8
34p = 8

Divide each side by '34'.
p = 0.2352941176

Simplifying
p = 0.2352941176

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