3(p+7)-(4p-1)=-5(2p-30)+1

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Solution for 3(p+7)-(4p-1)=-5(2p-30)+1 equation: 


Simplifying
3(p + 7) + -1(4p + -1) = -5(2p + -30) + 1

Reorder the terms:
3(7 + p) + -1(4p + -1) = -5(2p + -30) + 1
(7 * 3 + p * 3) + -1(4p + -1) = -5(2p + -30) + 1
(21 + 3p) + -1(4p + -1) = -5(2p + -30) + 1

Reorder the terms:
21 + 3p + -1(-1 + 4p) = -5(2p + -30) + 1
21 + 3p + (-1 * -1 + 4p * -1) = -5(2p + -30) + 1
21 + 3p + (1 + -4p) = -5(2p + -30) + 1

Reorder the terms:
21 + 1 + 3p + -4p = -5(2p + -30) + 1

Combine like terms: 21 + 1 = 22
22 + 3p + -4p = -5(2p + -30) + 1

Combine like terms: 3p + -4p = -1p
22 + -1p = -5(2p + -30) + 1

Reorder the terms:
22 + -1p = -5(-30 + 2p) + 1
22 + -1p = (-30 * -5 + 2p * -5) + 1
22 + -1p = (150 + -10p) + 1

Reorder the terms:
22 + -1p = 150 + 1 + -10p

Combine like terms: 150 + 1 = 151
22 + -1p = 151 + -10p

Solving
22 + -1p = 151 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
22 + -1p + 10p = 151 + -10p + 10p

Combine like terms: -1p + 10p = 9p
22 + 9p = 151 + -10p + 10p

Combine like terms: -10p + 10p = 0
22 + 9p = 151 + 0
22 + 9p = 151

Add '-22' to each side of the equation.
22 + -22 + 9p = 151 + -22

Combine like terms: 22 + -22 = 0
0 + 9p = 151 + -22
9p = 151 + -22

Combine like terms: 151 + -22 = 129
9p = 129

Divide each side by '9'.
p = 14.33333333

Simplifying
p = 14.33333333

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