5.275+-7.5r=-6.2r+2.5(1+1.7r)

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Solution for 5.275+-7.5r=-6.2r+2.5(1+1.7r) equation: 


Simplifying
5.275 + -7.5r = -6.2r + 2.5(1 + 1.7r)
5.275 + -7.5r = -6.2r + (1 * 2.5 + 1.7r * 2.5)
5.275 + -7.5r = -6.2r + (2.5 + 4.25r)

Reorder the terms:
5.275 + -7.5r = 2.5 + -6.2r + 4.25r

Combine like terms: -6.2r + 4.25r = -1.95r
5.275 + -7.5r = 2.5 + -1.95r

Solving
5.275 + -7.5r = 2.5 + -1.95r

Solving for variable 'r'.

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

Add '1.95r' to each side of the equation.
5.275 + -7.5r + 1.95r = 2.5 + -1.95r + 1.95r

Combine like terms: -7.5r + 1.95r = -5.55r
5.275 + -5.55r = 2.5 + -1.95r + 1.95r

Combine like terms: -1.95r + 1.95r = 0.00
5.275 + -5.55r = 2.5 + 0.00
5.275 + -5.55r = 2.5

Add '-5.275' to each side of the equation.
5.275 + -5.275 + -5.55r = 2.5 + -5.275

Combine like terms: 5.275 + -5.275 = 0.000
0.000 + -5.55r = 2.5 + -5.275
-5.55r = 2.5 + -5.275

Combine like terms: 2.5 + -5.275 = -2.775
-5.55r = -2.775

Divide each side by '-5.55'.
r = 0.5

Simplifying
r = 0.5

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