5p+10=3(3p-4)

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Solution for 5p+10=3(3p-4) equation:


Simplifying
5p + 10 = 3(3p + -4)

Reorder the terms:
10 + 5p = 3(3p + -4)

Reorder the terms:
10 + 5p = 3(-4 + 3p)
10 + 5p = (-4 * 3 + 3p * 3)
10 + 5p = (-12 + 9p)

Solving
10 + 5p = -12 + 9p

Solving for variable 'p'.

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

Add '-9p' to each side of the equation.
10 + 5p + -9p = -12 + 9p + -9p

Combine like terms: 5p + -9p = -4p
10 + -4p = -12 + 9p + -9p

Combine like terms: 9p + -9p = 0
10 + -4p = -12 + 0
10 + -4p = -12

Add '-10' to each side of the equation.
10 + -10 + -4p = -12 + -10

Combine like terms: 10 + -10 = 0
0 + -4p = -12 + -10
-4p = -12 + -10

Combine like terms: -12 + -10 = -22
-4p = -22

Divide each side by '-4'.
p = 5.5

Simplifying
p = 5.5

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