9.7-4.8r=7.9r+2.4(-5r+4)

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Solution for 9.7-4.8r=7.9r+2.4(-5r+4) equation: 


Simplifying
9.7 + -4.8r = 7.9r + 2.4(-5r + 4)

Reorder the terms:
9.7 + -4.8r = 7.9r + 2.4(4 + -5r)
9.7 + -4.8r = 7.9r + (4 * 2.4 + -5r * 2.4)
9.7 + -4.8r = 7.9r + (9.6 + -12r)

Reorder the terms:
9.7 + -4.8r = 9.6 + 7.9r + -12r

Combine like terms: 7.9r + -12r = -4.1r
9.7 + -4.8r = 9.6 + -4.1r

Solving
9.7 + -4.8r = 9.6 + -4.1r

Solving for variable 'r'.

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

Add '4.1r' to each side of the equation.
9.7 + -4.8r + 4.1r = 9.6 + -4.1r + 4.1r

Combine like terms: -4.8r + 4.1r = -0.7r
9.7 + -0.7r = 9.6 + -4.1r + 4.1r

Combine like terms: -4.1r + 4.1r = 0.0
9.7 + -0.7r = 9.6 + 0.0
9.7 + -0.7r = 9.6

Add '-9.7' to each side of the equation.
9.7 + -9.7 + -0.7r = 9.6 + -9.7

Combine like terms: 9.7 + -9.7 = 0.0
0.0 + -0.7r = 9.6 + -9.7
-0.7r = 9.6 + -9.7

Combine like terms: 9.6 + -9.7 = -0.1
-0.7r = -0.1

Divide each side by '-0.7'.
r = 0.1428571429

Simplifying
r = 0.1428571429

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