3(4p-5)-2(p+1)=4-(p-5)

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Solution for 3(4p-5)-2(p+1)=4-(p-5) equation:


Simplifying
3(4p + -5) + -2(p + 1) = 4 + -1(p + -5)

Reorder the terms:
3(-5 + 4p) + -2(p + 1) = 4 + -1(p + -5)
(-5 * 3 + 4p * 3) + -2(p + 1) = 4 + -1(p + -5)
(-15 + 12p) + -2(p + 1) = 4 + -1(p + -5)

Reorder the terms:
-15 + 12p + -2(1 + p) = 4 + -1(p + -5)
-15 + 12p + (1 * -2 + p * -2) = 4 + -1(p + -5)
-15 + 12p + (-2 + -2p) = 4 + -1(p + -5)

Reorder the terms:
-15 + -2 + 12p + -2p = 4 + -1(p + -5)

Combine like terms: -15 + -2 = -17
-17 + 12p + -2p = 4 + -1(p + -5)

Combine like terms: 12p + -2p = 10p
-17 + 10p = 4 + -1(p + -5)

Reorder the terms:
-17 + 10p = 4 + -1(-5 + p)
-17 + 10p = 4 + (-5 * -1 + p * -1)
-17 + 10p = 4 + (5 + -1p)

Combine like terms: 4 + 5 = 9
-17 + 10p = 9 + -1p

Solving
-17 + 10p = 9 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-17 + 10p + p = 9 + -1p + p

Combine like terms: 10p + p = 11p
-17 + 11p = 9 + -1p + p

Combine like terms: -1p + p = 0
-17 + 11p = 9 + 0
-17 + 11p = 9

Add '17' to each side of the equation.
-17 + 17 + 11p = 9 + 17

Combine like terms: -17 + 17 = 0
0 + 11p = 9 + 17
11p = 9 + 17

Combine like terms: 9 + 17 = 26
11p = 26

Divide each side by '11'.
p = 2.363636364

Simplifying
p = 2.363636364

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