4.3(r+6)=2.3(r-6)

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Solution for 4.3(r+6)=2.3(r-6) equation: 


Simplifying
4.3(r + 6) = 2.3(r + -6)

Reorder the terms:
4.3(6 + r) = 2.3(r + -6)
(6 * 4.3 + r * 4.3) = 2.3(r + -6)
(25.8 + 4.3r) = 2.3(r + -6)

Reorder the terms:
25.8 + 4.3r = 2.3(-6 + r)
25.8 + 4.3r = (-6 * 2.3 + r * 2.3)
25.8 + 4.3r = (-13.8 + 2.3r)

Solving
25.8 + 4.3r = -13.8 + 2.3r

Solving for variable 'r'.

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

Add '-2.3r' to each side of the equation.
25.8 + 4.3r + -2.3r = -13.8 + 2.3r + -2.3r

Combine like terms: 4.3r + -2.3r = 2r
25.8 + 2r = -13.8 + 2.3r + -2.3r

Combine like terms: 2.3r + -2.3r = 0.0
25.8 + 2r = -13.8 + 0.0
25.8 + 2r = -13.8

Add '-25.8' to each side of the equation.
25.8 + -25.8 + 2r = -13.8 + -25.8

Combine like terms: 25.8 + -25.8 = 0.0
0.0 + 2r = -13.8 + -25.8
2r = -13.8 + -25.8

Combine like terms: -13.8 + -25.8 = -39.6
2r = -39.6

Divide each side by '2'.
r = -19.8

Simplifying
r = -19.8

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