6.1r+1.6-3.7r-0.3=r-1.7+0.2r-0.6

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Solution for 6.1r+1.6-3.7r-0.3=r-1.7+0.2r-0.6 equation:


Simplifying
6.1r + 1.6 + -3.7r + -0.3 = r + -1.7 + 0.2r + -0.6

Reorder the terms:
1.6 + -0.3 + 6.1r + -3.7r = r + -1.7 + 0.2r + -0.6

Combine like terms: 1.6 + -0.3 = 1.3
1.3 + 6.1r + -3.7r = r + -1.7 + 0.2r + -0.6

Combine like terms: 6.1r + -3.7r = 2.4r
1.3 + 2.4r = r + -1.7 + 0.2r + -0.6

Reorder the terms:
1.3 + 2.4r = -1.7 + -0.6 + r + 0.2r

Combine like terms: -1.7 + -0.6 = -2.3
1.3 + 2.4r = -2.3 + r + 0.2r

Combine like terms: r + 0.2r = 1.2r
1.3 + 2.4r = -2.3 + 1.2r

Solving
1.3 + 2.4r = -2.3 + 1.2r

Solving for variable 'r'.

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

Add '-1.2r' to each side of the equation.
1.3 + 2.4r + -1.2r = -2.3 + 1.2r + -1.2r

Combine like terms: 2.4r + -1.2r = 1.2r
1.3 + 1.2r = -2.3 + 1.2r + -1.2r

Combine like terms: 1.2r + -1.2r = 0.0
1.3 + 1.2r = -2.3 + 0.0
1.3 + 1.2r = -2.3

Add '-1.3' to each side of the equation.
1.3 + -1.3 + 1.2r = -2.3 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + 1.2r = -2.3 + -1.3
1.2r = -2.3 + -1.3

Combine like terms: -2.3 + -1.3 = -3.6
1.2r = -3.6

Divide each side by '1.2'.
r = -3

Simplifying
r = -3

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