-14p-5(6-5p)=6(p-5)-20

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Solution for -14p-5(6-5p)=6(p-5)-20 equation:


Simplifying
-14p + -5(6 + -5p) = 6(p + -5) + -20
-14p + (6 * -5 + -5p * -5) = 6(p + -5) + -20
-14p + (-30 + 25p) = 6(p + -5) + -20

Reorder the terms:
-30 + -14p + 25p = 6(p + -5) + -20

Combine like terms: -14p + 25p = 11p
-30 + 11p = 6(p + -5) + -20

Reorder the terms:
-30 + 11p = 6(-5 + p) + -20
-30 + 11p = (-5 * 6 + p * 6) + -20
-30 + 11p = (-30 + 6p) + -20

Reorder the terms:
-30 + 11p = -30 + -20 + 6p

Combine like terms: -30 + -20 = -50
-30 + 11p = -50 + 6p

Solving
-30 + 11p = -50 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-30 + 11p + -6p = -50 + 6p + -6p

Combine like terms: 11p + -6p = 5p
-30 + 5p = -50 + 6p + -6p

Combine like terms: 6p + -6p = 0
-30 + 5p = -50 + 0
-30 + 5p = -50

Add '30' to each side of the equation.
-30 + 30 + 5p = -50 + 30

Combine like terms: -30 + 30 = 0
0 + 5p = -50 + 30
5p = -50 + 30

Combine like terms: -50 + 30 = -20
5p = -20

Divide each side by '5'.
p = -4

Simplifying
p = -4

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