2.3(5.1r-4)+5r-6=-4.12(r-3)+2

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Solution for 2.3(5.1r-4)+5r-6=-4.12(r-3)+2 equation: 


Simplifying
2.3(5.1r + -4) + 5r + -6 = -4.12(r + -3) + 2

Reorder the terms:
2.3(-4 + 5.1r) + 5r + -6 = -4.12(r + -3) + 2
(-4 * 2.3 + 5.1r * 2.3) + 5r + -6 = -4.12(r + -3) + 2
(-9.2 + 11.73r) + 5r + -6 = -4.12(r + -3) + 2

Reorder the terms:
-9.2 + -6 + 11.73r + 5r = -4.12(r + -3) + 2

Combine like terms: -9.2 + -6 = -15.2
-15.2 + 11.73r + 5r = -4.12(r + -3) + 2

Combine like terms: 11.73r + 5r = 16.73r
-15.2 + 16.73r = -4.12(r + -3) + 2

Reorder the terms:
-15.2 + 16.73r = -4.12(-3 + r) + 2
-15.2 + 16.73r = (-3 * -4.12 + r * -4.12) + 2
-15.2 + 16.73r = (12.36 + -4.12r) + 2

Reorder the terms:
-15.2 + 16.73r = 12.36 + 2 + -4.12r

Combine like terms: 12.36 + 2 = 14.36
-15.2 + 16.73r = 14.36 + -4.12r

Solving
-15.2 + 16.73r = 14.36 + -4.12r

Solving for variable 'r'.

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

Add '4.12r' to each side of the equation.
-15.2 + 16.73r + 4.12r = 14.36 + -4.12r + 4.12r

Combine like terms: 16.73r + 4.12r = 20.85r
-15.2 + 20.85r = 14.36 + -4.12r + 4.12r

Combine like terms: -4.12r + 4.12r = 0.00
-15.2 + 20.85r = 14.36 + 0.00
-15.2 + 20.85r = 14.36

Add '15.2' to each side of the equation.
-15.2 + 15.2 + 20.85r = 14.36 + 15.2

Combine like terms: -15.2 + 15.2 = 0.0
0.0 + 20.85r = 14.36 + 15.2
20.85r = 14.36 + 15.2

Combine like terms: 14.36 + 15.2 = 29.56
20.85r = 29.56

Divide each side by '20.85'.
r = 1.417745803

Simplifying
r = 1.417745803

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