4.4r+48.004=7.8(.6r-1.82)-6.5r

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Solution for 4.4r+48.004=7.8(.6r-1.82)-6.5r equation: 


Simplifying
4.4r + 48.004 = 7.8(0.6r + -1.82) + -6.5r

Reorder the terms:
48.004 + 4.4r = 7.8(0.6r + -1.82) + -6.5r

Reorder the terms:
48.004 + 4.4r = 7.8(-1.82 + 0.6r) + -6.5r
48.004 + 4.4r = (-1.82 * 7.8 + 0.6r * 7.8) + -6.5r
48.004 + 4.4r = (-14.196 + 4.68r) + -6.5r

Combine like terms: 4.68r + -6.5r = -1.82r
48.004 + 4.4r = -14.196 + -1.82r

Solving
48.004 + 4.4r = -14.196 + -1.82r

Solving for variable 'r'.

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

Add '1.82r' to each side of the equation.
48.004 + 4.4r + 1.82r = -14.196 + -1.82r + 1.82r

Combine like terms: 4.4r + 1.82r = 6.22r
48.004 + 6.22r = -14.196 + -1.82r + 1.82r

Combine like terms: -1.82r + 1.82r = 0.00
48.004 + 6.22r = -14.196 + 0.00
48.004 + 6.22r = -14.196

Add '-48.004' to each side of the equation.
48.004 + -48.004 + 6.22r = -14.196 + -48.004

Combine like terms: 48.004 + -48.004 = 0.000
0.000 + 6.22r = -14.196 + -48.004
6.22r = -14.196 + -48.004

Combine like terms: -14.196 + -48.004 = -62.2
6.22r = -62.2

Divide each side by '6.22'.
r = -10

Simplifying
r = -10

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