3+4r-7+8r=4+2r+8r-9

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Solution for 3+4r-7+8r=4+2r+8r-9 equation:


Simplifying
3 + 4r + -7 + 8r = 4 + 2r + 8r + -9

Reorder the terms:
3 + -7 + 4r + 8r = 4 + 2r + 8r + -9

Combine like terms: 3 + -7 = -4
-4 + 4r + 8r = 4 + 2r + 8r + -9

Combine like terms: 4r + 8r = 12r
-4 + 12r = 4 + 2r + 8r + -9

Reorder the terms:
-4 + 12r = 4 + -9 + 2r + 8r

Combine like terms: 4 + -9 = -5
-4 + 12r = -5 + 2r + 8r

Combine like terms: 2r + 8r = 10r
-4 + 12r = -5 + 10r

Solving
-4 + 12r = -5 + 10r

Solving for variable 'r'.

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

Add '-10r' to each side of the equation.
-4 + 12r + -10r = -5 + 10r + -10r

Combine like terms: 12r + -10r = 2r
-4 + 2r = -5 + 10r + -10r

Combine like terms: 10r + -10r = 0
-4 + 2r = -5 + 0
-4 + 2r = -5

Add '4' to each side of the equation.
-4 + 4 + 2r = -5 + 4

Combine like terms: -4 + 4 = 0
0 + 2r = -5 + 4
2r = -5 + 4

Combine like terms: -5 + 4 = -1
2r = -1

Divide each side by '2'.
r = -0.5

Simplifying
r = -0.5

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