-51.442=-2.3(3.1r+0.9)+3.5(0.3+2.2r)

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Solution for -51.442=-2.3(3.1r+0.9)+3.5(0.3+2.2r) equation:


Simplifying
-51.442 = -2.3(3.1r + 0.9) + 3.5(0.3 + 2.2r)

Reorder the terms:
-51.442 = -2.3(0.9 + 3.1r) + 3.5(0.3 + 2.2r)
-51.442 = (0.9 * -2.3 + 3.1r * -2.3) + 3.5(0.3 + 2.2r)
-51.442 = (-2.07 + -7.13r) + 3.5(0.3 + 2.2r)
-51.442 = -2.07 + -7.13r + (0.3 * 3.5 + 2.2r * 3.5)
-51.442 = -2.07 + -7.13r + (1.05 + 7.7r)

Reorder the terms:
-51.442 = -2.07 + 1.05 + -7.13r + 7.7r

Combine like terms: -2.07 + 1.05 = -1.02
-51.442 = -1.02 + -7.13r + 7.7r

Combine like terms: -7.13r + 7.7r = 0.57r
-51.442 = -1.02 + 0.57r

Solving
-51.442 = -1.02 + 0.57r

Solving for variable 'r'.

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

Add '-0.57r' to each side of the equation.
-51.442 + -0.57r = -1.02 + 0.57r + -0.57r

Combine like terms: 0.57r + -0.57r = 0.00
-51.442 + -0.57r = -1.02 + 0.00
-51.442 + -0.57r = -1.02

Add '51.442' to each side of the equation.
-51.442 + 51.442 + -0.57r = -1.02 + 51.442

Combine like terms: -51.442 + 51.442 = 0.000
0.000 + -0.57r = -1.02 + 51.442
-0.57r = -1.02 + 51.442

Combine like terms: -1.02 + 51.442 = 50.422
-0.57r = 50.422

Divide each side by '-0.57'.
r = -88.45964912

Simplifying
r = -88.45964912

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