4p+25=6(p-3)-3(4+3p)

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Solution for 4p+25=6(p-3)-3(4+3p) equation:


Simplifying
4p + 25 = 6(p + -3) + -3(4 + 3p)

Reorder the terms:
25 + 4p = 6(p + -3) + -3(4 + 3p)

Reorder the terms:
25 + 4p = 6(-3 + p) + -3(4 + 3p)
25 + 4p = (-3 * 6 + p * 6) + -3(4 + 3p)
25 + 4p = (-18 + 6p) + -3(4 + 3p)
25 + 4p = -18 + 6p + (4 * -3 + 3p * -3)
25 + 4p = -18 + 6p + (-12 + -9p)

Reorder the terms:
25 + 4p = -18 + -12 + 6p + -9p

Combine like terms: -18 + -12 = -30
25 + 4p = -30 + 6p + -9p

Combine like terms: 6p + -9p = -3p
25 + 4p = -30 + -3p

Solving
25 + 4p = -30 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
25 + 4p + 3p = -30 + -3p + 3p

Combine like terms: 4p + 3p = 7p
25 + 7p = -30 + -3p + 3p

Combine like terms: -3p + 3p = 0
25 + 7p = -30 + 0
25 + 7p = -30

Add '-25' to each side of the equation.
25 + -25 + 7p = -30 + -25

Combine like terms: 25 + -25 = 0
0 + 7p = -30 + -25
7p = -30 + -25

Combine like terms: -30 + -25 = -55
7p = -55

Divide each side by '7'.
p = -7.857142857

Simplifying
p = -7.857142857

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