(5p-2q+75)+(3q-r-s)=

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Solution for (5p-2q+75)+(3q-r-s)= equation: 


Simplifying
(5p + -2q + 75) + (3q + -1r + -1s) = 0

Reorder the terms:
(75 + 5p + -2q) + (3q + -1r + -1s) = 0

Remove parenthesis around (75 + 5p + -2q)
75 + 5p + -2q + (3q + -1r + -1s) = 0

Remove parenthesis around (3q + -1r + -1s)
75 + 5p + -2q + 3q + -1r + -1s = 0

Combine like terms: -2q + 3q = 1q
75 + 5p + 1q + -1r + -1s = 0

Solving
75 + 5p + 1q + -1r + -1s = 0

Solving for variable 'p'.

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

Add '-75' to each side of the equation.
75 + 5p + 1q + -1r + -75 + -1s = 0 + -75

Reorder the terms:
75 + -75 + 5p + 1q + -1r + -1s = 0 + -75

Combine like terms: 75 + -75 = 0
0 + 5p + 1q + -1r + -1s = 0 + -75
5p + 1q + -1r + -1s = 0 + -75

Combine like terms: 0 + -75 = -75
5p + 1q + -1r + -1s = -75

Add '-1q' to each side of the equation.
5p + 1q + -1r + -1q + -1s = -75 + -1q

Reorder the terms:
5p + 1q + -1q + -1r + -1s = -75 + -1q

Combine like terms: 1q + -1q = 0
5p + 0 + -1r + -1s = -75 + -1q
5p + -1r + -1s = -75 + -1q

Add 'r' to each side of the equation.
5p + -1r + r + -1s = -75 + -1q + r

Combine like terms: -1r + r = 0
5p + 0 + -1s = -75 + -1q + r
5p + -1s = -75 + -1q + r

Add 's' to each side of the equation.
5p + -1s + s = -75 + -1q + r + s

Combine like terms: -1s + s = 0
5p + 0 = -75 + -1q + r + s
5p = -75 + -1q + r + s

Divide each side by '5'.
p = -15 + -0.2q + 0.2r + 0.2s

Simplifying
p = -15 + -0.2q + 0.2r + 0.2s

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