3(0.25p-0.5)=1.5(p-2.25)+0.75(p-3.5)

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Solution for 3(0.25p-0.5)=1.5(p-2.25)+0.75(p-3.5) equation: 


Simplifying
3(0.25p + -0.5) = 1.5(p + -2.25) + 0.75(p + -3.5)

Reorder the terms:
3(-0.5 + 0.25p) = 1.5(p + -2.25) + 0.75(p + -3.5)
(-0.5 * 3 + 0.25p * 3) = 1.5(p + -2.25) + 0.75(p + -3.5)
(-1.5 + 0.75p) = 1.5(p + -2.25) + 0.75(p + -3.5)

Reorder the terms:
-1.5 + 0.75p = 1.5(-2.25 + p) + 0.75(p + -3.5)
-1.5 + 0.75p = (-2.25 * 1.5 + p * 1.5) + 0.75(p + -3.5)
-1.5 + 0.75p = (-3.375 + 1.5p) + 0.75(p + -3.5)

Reorder the terms:
-1.5 + 0.75p = -3.375 + 1.5p + 0.75(-3.5 + p)
-1.5 + 0.75p = -3.375 + 1.5p + (-3.5 * 0.75 + p * 0.75)
-1.5 + 0.75p = -3.375 + 1.5p + (-2.625 + 0.75p)

Reorder the terms:
-1.5 + 0.75p = -3.375 + -2.625 + 1.5p + 0.75p

Combine like terms: -3.375 + -2.625 = -6
-1.5 + 0.75p = -6 + 1.5p + 0.75p

Combine like terms: 1.5p + 0.75p = 2.25p
-1.5 + 0.75p = -6 + 2.25p

Solving
-1.5 + 0.75p = -6 + 2.25p

Solving for variable 'p'.

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

Add '-2.25p' to each side of the equation.
-1.5 + 0.75p + -2.25p = -6 + 2.25p + -2.25p

Combine like terms: 0.75p + -2.25p = -1.5p
-1.5 + -1.5p = -6 + 2.25p + -2.25p

Combine like terms: 2.25p + -2.25p = 0.00
-1.5 + -1.5p = -6 + 0.00
-1.5 + -1.5p = -6

Add '1.5' to each side of the equation.
-1.5 + 1.5 + -1.5p = -6 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + -1.5p = -6 + 1.5
-1.5p = -6 + 1.5

Combine like terms: -6 + 1.5 = -4.5
-1.5p = -4.5

Divide each side by '-1.5'.
p = 3

Simplifying
p = 3

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