7.5=2+1.5(3p+1)

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Solution for 7.5=2+1.5(3p+1) equation:


Simplifying
7.5 = 2 + 1.5(3p + 1)

Reorder the terms:
7.5 = 2 + 1.5(1 + 3p)
7.5 = 2 + (1 * 1.5 + 3p * 1.5)
7.5 = 2 + (1.5 + 4.5p)

Combine like terms: 2 + 1.5 = 3.5
7.5 = 3.5 + 4.5p

Solving
7.5 = 3.5 + 4.5p

Solving for variable 'p'.

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

Add '-4.5p' to each side of the equation.
7.5 + -4.5p = 3.5 + 4.5p + -4.5p

Combine like terms: 4.5p + -4.5p = 0.0
7.5 + -4.5p = 3.5 + 0.0
7.5 + -4.5p = 3.5

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -4.5p = 3.5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -4.5p = 3.5 + -7.5
-4.5p = 3.5 + -7.5

Combine like terms: 3.5 + -7.5 = -4
-4.5p = -4

Divide each side by '-4.5'.
p = 0.8888888889

Simplifying
p = 0.8888888889

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