-14p-4(5-6p)=6(p-5)34

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Solution for -14p-4(5-6p)=6(p-5)34 equation:


Simplifying
-14p + -4(5 + -6p) = 6(p + -5) * 34
-14p + (5 * -4 + -6p * -4) = 6(p + -5) * 34
-14p + (-20 + 24p) = 6(p + -5) * 34

Reorder the terms:
-20 + -14p + 24p = 6(p + -5) * 34

Combine like terms: -14p + 24p = 10p
-20 + 10p = 6(p + -5) * 34

Reorder the terms:
-20 + 10p = 6(-5 + p) * 34

Reorder the terms for easier multiplication:
-20 + 10p = 6 * 34(-5 + p)

Multiply 6 * 34
-20 + 10p = 204(-5 + p)
-20 + 10p = (-5 * 204 + p * 204)
-20 + 10p = (-1020 + 204p)

Solving
-20 + 10p = -1020 + 204p

Solving for variable 'p'.

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

Add '-204p' to each side of the equation.
-20 + 10p + -204p = -1020 + 204p + -204p

Combine like terms: 10p + -204p = -194p
-20 + -194p = -1020 + 204p + -204p

Combine like terms: 204p + -204p = 0
-20 + -194p = -1020 + 0
-20 + -194p = -1020

Add '20' to each side of the equation.
-20 + 20 + -194p = -1020 + 20

Combine like terms: -20 + 20 = 0
0 + -194p = -1020 + 20
-194p = -1020 + 20

Combine like terms: -1020 + 20 = -1000
-194p = -1000

Divide each side by '-194'.
p = 5.154639175

Simplifying
p = 5.154639175

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