4p-7=3(p-1)-6(8-2p)

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Solution for 4p-7=3(p-1)-6(8-2p) equation:


Simplifying
4p + -7 = 3(p + -1) + -6(8 + -2p)

Reorder the terms:
-7 + 4p = 3(p + -1) + -6(8 + -2p)

Reorder the terms:
-7 + 4p = 3(-1 + p) + -6(8 + -2p)
-7 + 4p = (-1 * 3 + p * 3) + -6(8 + -2p)
-7 + 4p = (-3 + 3p) + -6(8 + -2p)
-7 + 4p = -3 + 3p + (8 * -6 + -2p * -6)
-7 + 4p = -3 + 3p + (-48 + 12p)

Reorder the terms:
-7 + 4p = -3 + -48 + 3p + 12p

Combine like terms: -3 + -48 = -51
-7 + 4p = -51 + 3p + 12p

Combine like terms: 3p + 12p = 15p
-7 + 4p = -51 + 15p

Solving
-7 + 4p = -51 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-7 + 4p + -15p = -51 + 15p + -15p

Combine like terms: 4p + -15p = -11p
-7 + -11p = -51 + 15p + -15p

Combine like terms: 15p + -15p = 0
-7 + -11p = -51 + 0
-7 + -11p = -51

Add '7' to each side of the equation.
-7 + 7 + -11p = -51 + 7

Combine like terms: -7 + 7 = 0
0 + -11p = -51 + 7
-11p = -51 + 7

Combine like terms: -51 + 7 = -44
-11p = -44

Divide each side by '-11'.
p = 4

Simplifying
p = 4

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