3.75-2.5(p+1)=0.5p+4.25

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Solution for 3.75-2.5(p+1)=0.5p+4.25 equation: 


Simplifying
3.75 + -2.5(p + 1) = 0.5p + 4.25

Reorder the terms:
3.75 + -2.5(1 + p) = 0.5p + 4.25
3.75 + (1 * -2.5 + p * -2.5) = 0.5p + 4.25
3.75 + (-2.5 + -2.5p) = 0.5p + 4.25

Combine like terms: 3.75 + -2.5 = 1.25
1.25 + -2.5p = 0.5p + 4.25

Reorder the terms:
1.25 + -2.5p = 4.25 + 0.5p

Solving
1.25 + -2.5p = 4.25 + 0.5p

Solving for variable 'p'.

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

Add '-0.5p' to each side of the equation.
1.25 + -2.5p + -0.5p = 4.25 + 0.5p + -0.5p

Combine like terms: -2.5p + -0.5p = -3p
1.25 + -3p = 4.25 + 0.5p + -0.5p

Combine like terms: 0.5p + -0.5p = 0.0
1.25 + -3p = 4.25 + 0.0
1.25 + -3p = 4.25

Add '-1.25' to each side of the equation.
1.25 + -1.25 + -3p = 4.25 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + -3p = 4.25 + -1.25
-3p = 4.25 + -1.25

Combine like terms: 4.25 + -1.25 = 3
-3p = 3

Divide each side by '-3'.
p = -1

Simplifying
p = -1

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