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

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


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

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

Reorder the terms:
-1 + p = 5(-3 + 2p) + -4
-1 + p = (-3 * 5 + 2p * 5) + -4
-1 + p = (-15 + 10p) + -4

Reorder the terms:
-1 + p = -15 + -4 + 10p

Combine like terms: -15 + -4 = -19
-1 + p = -19 + 10p

Solving
-1 + p = -19 + 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.
-1 + p + -10p = -19 + 10p + -10p

Combine like terms: p + -10p = -9p
-1 + -9p = -19 + 10p + -10p

Combine like terms: 10p + -10p = 0
-1 + -9p = -19 + 0
-1 + -9p = -19

Add '1' to each side of the equation.
-1 + 1 + -9p = -19 + 1

Combine like terms: -1 + 1 = 0
0 + -9p = -19 + 1
-9p = -19 + 1

Combine like terms: -19 + 1 = -18
-9p = -18

Divide each side by '-9'.
p = 2

Simplifying
p = 2

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