4p+25=(p-3)-3(4-3p)

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Solution for 4p+25=(p-3)-3(4-3p) equation:


Simplifying
4p + 25 = (p + -3) + -3(4 + -3p)

Reorder the terms:
25 + 4p = (p + -3) + -3(4 + -3p)

Reorder the terms:
25 + 4p = (-3 + p) + -3(4 + -3p)

Remove parenthesis around (-3 + p)
25 + 4p = -3 + p + -3(4 + -3p)
25 + 4p = -3 + p + (4 * -3 + -3p * -3)
25 + 4p = -3 + p + (-12 + 9p)

Reorder the terms:
25 + 4p = -3 + -12 + p + 9p

Combine like terms: -3 + -12 = -15
25 + 4p = -15 + p + 9p

Combine like terms: p + 9p = 10p
25 + 4p = -15 + 10p

Solving
25 + 4p = -15 + 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.
25 + 4p + -10p = -15 + 10p + -10p

Combine like terms: 4p + -10p = -6p
25 + -6p = -15 + 10p + -10p

Combine like terms: 10p + -10p = 0
25 + -6p = -15 + 0
25 + -6p = -15

Add '-25' to each side of the equation.
25 + -25 + -6p = -15 + -25

Combine like terms: 25 + -25 = 0
0 + -6p = -15 + -25
-6p = -15 + -25

Combine like terms: -15 + -25 = -40
-6p = -40

Divide each side by '-6'.
p = 6.666666667

Simplifying
p = 6.666666667

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