3(3+p)-1=7(p-4)

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


Simplifying
3(3 + p) + -1 = 7(p + -4)
(3 * 3 + p * 3) + -1 = 7(p + -4)
(9 + 3p) + -1 = 7(p + -4)

Reorder the terms:
9 + -1 + 3p = 7(p + -4)

Combine like terms: 9 + -1 = 8
8 + 3p = 7(p + -4)

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

Solving
8 + 3p = -28 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
8 + 3p + -7p = -28 + 7p + -7p

Combine like terms: 3p + -7p = -4p
8 + -4p = -28 + 7p + -7p

Combine like terms: 7p + -7p = 0
8 + -4p = -28 + 0
8 + -4p = -28

Add '-8' to each side of the equation.
8 + -8 + -4p = -28 + -8

Combine like terms: 8 + -8 = 0
0 + -4p = -28 + -8
-4p = -28 + -8

Combine like terms: -28 + -8 = -36
-4p = -36

Divide each side by '-4'.
p = 9

Simplifying
p = 9

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