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

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


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

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

Reorder the terms:
-2 + 3p = 5(-1 + p) + -4(7 + -2p)
-2 + 3p = (-1 * 5 + p * 5) + -4(7 + -2p)
-2 + 3p = (-5 + 5p) + -4(7 + -2p)
-2 + 3p = -5 + 5p + (7 * -4 + -2p * -4)
-2 + 3p = -5 + 5p + (-28 + 8p)

Reorder the terms:
-2 + 3p = -5 + -28 + 5p + 8p

Combine like terms: -5 + -28 = -33
-2 + 3p = -33 + 5p + 8p

Combine like terms: 5p + 8p = 13p
-2 + 3p = -33 + 13p

Solving
-2 + 3p = -33 + 13p

Solving for variable 'p'.

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

Add '-13p' to each side of the equation.
-2 + 3p + -13p = -33 + 13p + -13p

Combine like terms: 3p + -13p = -10p
-2 + -10p = -33 + 13p + -13p

Combine like terms: 13p + -13p = 0
-2 + -10p = -33 + 0
-2 + -10p = -33

Add '2' to each side of the equation.
-2 + 2 + -10p = -33 + 2

Combine like terms: -2 + 2 = 0
0 + -10p = -33 + 2
-10p = -33 + 2

Combine like terms: -33 + 2 = -31
-10p = -31

Divide each side by '-10'.
p = 3.1

Simplifying
p = 3.1

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